Math question: How many ways can you arrange the four digits in the number 8652 when repeated digits are allowed?

To determine the number of arrangements, we first calculate the total number of arrangements without any restrictions. Because we have four unique digits, there are 4! (factorial) ways to arrange them, which is 4 x 3 x 2 x 1 = 24 arrangements. Now, let's consider the repeated digits. We have one repeated digit, 8. In this case, we need to divide the total arrangements by the factorial of the repetition count. Since the digit 8 repeats, we divide by 2!, which is 2 x 1 = 2. Therefore, the number of arrangements of the digits in 8652, with repeated digits allowed, is 24 divided by 2, which equals 12 arrangements. Hence, there are 12 different ways to arrange the digits in the number 8652 while allowing repetition.

Math Question: If an unknown number is divided by 7, the remainder obtained is 3, and when divided by 11, the remainder is 5, what is the smallest 4-digit number satisfying these conditions?

Let's find the smallest 4-digit number that satisfies these conditions. To ensure the number has 4 digits, we need it to be greater than or equal to 1000. To find the solution, we can use the Chinese Remainder Theorem. Given that the number leaves a remainder of 3 when divided by 7, we can write it as 7a + 3. Similarly, since the number leaves a remainder of 5 when divided by 11, it can be written as 11b + 5. Using the Chinese Remainder Theorem, we need to find a value for a and b such that 7a + 3 = 11b + 5. Rearranging the equation gives 7a - 11b = 2. By trial and error, we can find the smallest values of a and b that satisfy this equation are 9 and 5, respectively. Therefore, a = 9 and b = 5. Now, substituting these values back into the original equations: 7a + 3 = 7(9) + 3 = 66 + 3 = 69. 11b + 5 = 11(5) + 5 = 55 + 5 = 60. Thus, the smallest 4-digit number satisfying these conditions is 1069.

Question: If 8652 is multiplied by 7, divided by 2, added to 3896, and then subtracted by 1530, what is the result?

To find the result, let's simplify step by step. First, multiply 8652 by 7 to get 60564. Next, divide by 2 to yield 30282. Then, add 3896 to give 34178. Finally, subtract 1530 to obtain the final result of 32648. Therefore, the result of the given operations on 8652 is 32648.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

8652 (number)

8652 is an even 4-digits composite number following 8651 and preceding 8653. In scientific notation, it is written as 8.652 × 10^3. The sum of its digits is 21. It has a total of 4 prime factors and 12 positive divisors. There are 2448 positive integers (up to 8652) that are relatively prime to 8652.

Interesting facts

8652 has 12 divisors, whose sum is 16016
The reverse of 8652 is 2568
Previous prime number is 21

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 21
Digital Root 3

Name

Name	eight thousand six hundred fifty-two

Notation

Scientific notation	8.652 × 10^3
Engineering notation	8.652 × 10^3

Prime Factorization of 8652

Prime Factorization 2 × 2 × 21 × 103

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	4326	Product of the distinct prime numbers

The prime factorization of 8652 is 2 × 2 × 21 × 103. Since it has a total of 4 prime factors.

Most popular turbo-numbers

1, 8, 17, 30, 260, 743, 1325, 4003, 66814, 25817, 186423, 9769, 4307536, 2940414, 70418894, 13030502, 630453757, 156194460, 1201191470, 2672384005

Basic calculations (n = 8652)

Multiplication

n×y

n×2	17304
n×3	25956
n×4	34608
n×5	43260

Division

n÷y

n÷2	4326
n÷3	2884
n÷3	2163
n÷5	1730.4

Exponentiation

n^y

n²	74857104
n³	647663663808
n⁴	5603586019266816
n⁵	4.8482226238696E+19

Nth Root

^y√n

²√n	93.016127633868
³√n	20.529206831795
⁴√n	9.6444869036081
⁵√n	6.1294753402233

Divisors of 8652

1, 2, 4, 21, 42, 84, 103, 206, 412, 2163, 4326, 8652

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-8651	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8652 can be divided by 12 positive divisors. The sum of these divisors (counting 8652) is 1, the average is 0.083333333333333.

Base conversion 8652

Base	System	Value
2	Binary	10000111001100
3	Ternary	102212110
4	Quaternary	2013030
5	Quinary	234102
6	Senary	104020
8	Octal	20714
10	Decimal	8652
12	Duodecimal	5010
16	Hexadecimal	21cc
20	Vigesimal	11cc
36	Base36	6oc

Cryptographic Hash Functions

md5	aa495e18c7e3a21a4e48923b92048a61
sha1	58e70db3355567720fb2e4280dba4843d334683b
sha256	43dcb1e9a64f6f75d3c405bd5a520121a7bda54ca8514996a0b8667f81ef2d75
sha512	ce37a5b4425e4d5309a419c92cd2c267e7f6299dd023bbf5f45f08cfc5e35e684ef4b681e50702b92da8d781d2dc1c608a33ada64613046d94b9da085640d94c
ripemd-160	ad24da113aa2f630bee2cfce0874336c79bdd0a3

8652 as geometric shapes

Circle

Radius = n

Diameter	17304
Circumference	54362.119277718
Area	235170527.99541

Sphere

Radius = n

Volume	2712927210955
Surface area	940682111.98163
Circumference	54362.119277718

Square

Length = n

Perimeter	34608
Area	74857104
Diagonal	12235.775741652

Cube

Length = n

Surface area	449142624
Volume	647663663808
Space diagonal	14985.703587086

Equilateral Triangle

Length = n

Perimeter	25956
Area	32414076.858867
Altitude	7492.851793543

Triangular Pyramid

Length = n

Surface area	32414076.858867
Volume	76327894767.794
Height	4078.591913884