Math question: What is the largest prime factor of 8064?

To find the largest prime factor of 8064, we first determine its prime factorization. The prime factorization of 8064 is 2^7 * 3^2 * 7. Therefore, the largest prime factor is 7.

Math question: How many different ways can the number 8064 be written as a product of its prime factors, considering repeated factors, up to 200 characters long?

To find the prime factorization of 8064, first divide it by the smallest prime, 2. Repeatedly divide the resulting quotient by the smallest prime until the quotient is no longer divisible by that prime. Then move to the next prime number and repeat the process. In the case of 8064, the prime factorization is 2^7 * 3^2 * 7. Therefore, the number 8064 can be written as a product of its prime factors in 180 different ways (2^0 * 3^0 * 7^0 to 2^7 * 3^2 * 7^1).

Math question: If 25% of a number is 2016, what is the number? Solution: To find the number, we can set up the equation 0.25x = 2016, where x represents the unknown number. Solving this equation, we divide both sides by 0.25, revealing that x is equal to 2016 divided by 0.25. Simplifying further, this gives us x = 8064.

The number is 8064. By setting up the equation 0.25x = 2016 and solving for x, we determine that x is equal to 8064.

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

8064 (number)

8064 is an even 4-digits composite number following 8063 and preceding 8065. In scientific notation, it is written as 8.064 × 10^3. The sum of its digits is 18. It has a total of 10 prime factors and 48 positive divisors. There are 2304 positive integers (up to 8064) that are relatively prime to 8064.

Interesting facts

8064 has 48 divisors, whose sum is 26520
The reverse of 8064 is 4608
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	eight thousand sixty-four

Notation

Scientific notation	8.064 × 10^3
Engineering notation	8.064 × 10^3

Prime Factorization of 8064

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	10	Total number of prime factors
rad	Radical	42	Product of the distinct prime numbers

The prime factorization of 8064 is 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7. Since it has a total of 10 prime factors.

Most popular turbo-numbers

8, 6, 74, 96, 653, 539, 8641, 5292, 56017, 96807, 201356, 536789, 8541198, 7711894, 47036264, 50420649, 23227209, 726221271, 3649034868, 9731994426

Basic calculations (n = 8064)

Multiplication

n×y

n×2	16128
n×3	24192
n×4	32256
n×5	40320

Division

n÷y

n÷2	4032
n÷3	2688
n÷3	2016
n÷5	1612.8

Exponentiation

n^y

n²	65028096
n³	524386566144
n⁴	4228653269385216
n⁵	3.4099859964322E+19

Nth Root

^y√n

²√n	89.799777282575
³√n	20.053191739858
⁴√n	9.4762744410752
⁵√n	6.0438002711713

Divisors of 8064

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064

48 divisors

τ	Total Divisors	48	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-8063	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.020833333333333	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	48	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8064 can be divided by 48 positive divisors. The sum of these divisors (counting 8064) is 1, the average is 0.020833333333333.

Base conversion 8064

Base	System	Value
2	Binary	1111110000000
3	Ternary	102001200
4	Quaternary	1332000
5	Quinary	224224
6	Senary	101200
8	Octal	17600
10	Decimal	8064
12	Duodecimal	4800
16	Hexadecimal	1f80
20	Vigesimal	1034
36	Base36	680

Cryptographic Hash Functions

md5	fa40b3850046b362217c121a274720fd
sha1	074a2130edd3641ef96331d954ff2007418c7577
sha256	ebafcf01f985fd121457e80f9598310c835f2403eef8e4eed1c23eff91d30549
sha512	488d86d63b097bf4ad11a1b5e7ea3751521c1c25561e3c5545b56a1d36c1366db2b5a5aa8ce04c206cfb5bcfd8f1655a674f8c9d74ff73174f969c6767a170b0
ripemd-160	ecbc60365d84f41abcc34a5325e8c515e61c5b19

8064 as geometric shapes

Circle

Radius = n

Diameter	16128
Circumference	50667.606317096
Area	204291788.67053

Sphere

Radius = n

Volume	2196545311785.6
Surface area	817167154.68213
Circumference	50667.606317096

Square

Length = n

Perimeter	32256
Area	65028096
Diagonal	11404.218166977

Cube

Length = n

Surface area	390168576
Volume	524386566144
Space diagonal	13967.257712235

Equilateral Triangle

Length = n

Perimeter	24192
Area	28157991.547867
Altitude	6983.6288561177

Triangular Pyramid

Length = n

Surface area	28157991.547867
Volume	61799549480.592
Height	3801.4060556589