Math Question: How many three-digit numbers are divisible by 6, 7, and 12, when the sum of their digits is 15?

To determine the number of three-digit numbers fitting these conditions, we can consider each condition individually. For divisibility by 6, the last digit must be even (0, 2, 4, 6, or 8) and the sum of all digits must be divisible by 3. Sum of digits being 15 satisfies this condition. Out of the possible options for the last digit, only 6 and 0 are divisible by 6. For divisibility by 7, considering the hundreds and units digit, we can use trial and error to find that 15-9-6 and 15-3-9 satisfy this condition. For divisibility by 12, we observe that the number must be divisible by both 6 and 4, so the last two digits should be 96. Therefore, 1596 and 1395 are the only two three-digit numbers satisfying all conditions.

Math question: Find the sum of the digits in the number 7752 and then multiply the result by the sum of its prime factors.

To find the sum of the digits in 7752, we add 7 + 7 + 5 + 2 = 21. The prime factors of 7752 are 2, 3, and 7. Thus, their sum is 2 + 3 + 7 = 12. Multiplying these two sums, we get 21 * 12 = 252. So, the answer is 252.

Math Question: If 7752 is multiplied by 18, what is the sum of the digits of the resulting number?

To find the product, we multiply 7752 by 18: 7752 × 18 = 139536 Now, we need to calculate the sum of its digits: 1 + 3 + 9 + 5 + 3 + 6 = 27 Therefore, the sum of the digits in the resulting number is 27.

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

7752 (number)

7752 is an even 4-digits composite number following 7751 and preceding 7753. In scientific notation, it is written as 7.752 × 10^3. The sum of its digits is 21. It has a total of 5 prime factors and 16 positive divisors. There are 2304 positive integers (up to 7752) that are relatively prime to 7752.

Interesting facts

7752 has 16 divisors, whose sum is 15600
The reverse of 7752 is 2577
Previous prime number is 51

Basic properties

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

Name

Name	seven thousand seven hundred fifty-two

Notation

Scientific notation	7.752 × 10^3
Engineering notation	7.752 × 10^3

Prime Factorization of 7752

Prime Factorization 2 × 2 × 2 × 51 × 19

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	1938	Product of the distinct prime numbers

The prime factorization of 7752 is 2 × 2 × 2 × 51 × 19. Since it has a total of 5 prime factors.

Most popular turbo-numbers

2, 7, 78, 71, 334, 75, 2731, 6596, 42030, 84842, 863072, 753243, 7828726, 108386, 52216095, 12044023, 748781618, 494164928, 3221078509, 3209234646

Basic calculations (n = 7752)

Multiplication

n×y

n×2	15504
n×3	23256
n×4	31008
n×5	38760

Division

n÷y

n÷2	3876
n÷3	2584
n÷3	1938
n÷5	1550.4

Exponentiation

n^y

n²	60093504
n³	465844843008
n⁴	3611229222998016
n⁵	2.7994248936681E+19

Nth Root

^y√n

²√n	88.045442812221
³√n	19.791160220959
⁴√n	9.3832533170655
⁵√n	5.9962917153367

Divisors of 7752

1, 2, 4, 8, 19, 38, 51, 76, 102, 152, 204, 408, 969, 1938, 3876, 7752

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7751	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7752 can be divided by 16 positive divisors. The sum of these divisors (counting 7752) is 1, the average is 0.0625.

Base conversion 7752

Base	System	Value
2	Binary	1111001001000
3	Ternary	101122010
4	Quaternary	1321020
5	Quinary	222002
6	Senary	55520
8	Octal	17110
10	Decimal	7752
12	Duodecimal	45a0
16	Hexadecimal	1e48
20	Vigesimal	j7c
36	Base36	5zc

Cryptographic Hash Functions

md5	804741413d7fe0e515b19a7ffc7b3027
sha1	4c1326d29a459b60d603cf9cc5fe51526f6eb01b
sha256	500c945106e80c97367e9ffeb363d61fd030a8b8eeac64dd2b839475ba6e32d4
sha512	c17f35ff6cf742e67575dbef4941eedbf35328a68f23e419acd5922970a333672d5ff0049a55e6c3ce6868b0fa295b63ff04dd1759fb4f585c80ea17d7b6614c
ripemd-160	52ee492cff969dc7c343830fd3b4ced24bc0b83c

7752 as geometric shapes

Circle

Radius = n

Diameter	15504
Circumference	48707.252501256
Area	188789310.69487

Sphere

Radius = n

Volume	1951326315342.2
Surface area	755157242.77948
Circumference	48707.252501256

Square

Length = n

Perimeter	31008
Area	60093504
Diagonal	10962.983535516

Cube

Length = n

Surface area	360561024
Volume	465844843008
Space diagonal	13426.857860274

Equilateral Triangle

Length = n

Perimeter	23256
Area	26021250.533211
Altitude	6713.428930137

Triangular Pyramid

Length = n

Surface area	26021250.533211
Volume	54900341245.29
Height	3654.3278451721