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52008

Number 52008: Properties, Factors, and Mathematical Facts

Short answer

The number 52008 is an even composite number with 32 positive divisors. Its prime factorization is 2³ × 3 × 11 × 197. It is also an abundant number, which gives it several notable mathematical relationships.

Is 52008 prime?

ClassificationCompositeParityEvenDivisor count32AbundanceAbundant

What is the prime factorization of 52008?

Prime factorization

52008 =
2 cubed times 3 times 11 times 197
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What are the divisors of 52008?

Divisor count

32

Divisor sum

142,560

Proper divisor sum

90,552
  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 11
  • 12
  • 22
  • 24
  • 33
  • 44
  • 66
  • 88
  • 132
  • 197
  • 264
  • 394
  • 591
  • 788
  • 1182
  • 1576
  • 2167
  • 2364

How is 52008 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 52008 represented in other numeral systems?

Decimal

52008

Binary

1100101100101000
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Octal

145450

Hexadecimal

Roman

No conventional Roman numeral

In words

fifty two thousand eight

Roots and powers

Square root

228.052626 Approximate

Cube root

37.327026 Approximate

Nearest lower square

51984

Nearest higher square

52441

Nearest lower cube

50653

Nearest higher cube

54872

What are the digit properties of 52008?

Digit count

5

Digit sum

Digit product

0

Digital root

6

Reversed number

80025

Why these results are true

  • 52008 is composite because it has positive divisors other than 1 and itself.
  • 52008 is abundant because the sum of its proper divisors (90552) is greater than 52008.

Compare this number

FAQ for 52008

Is 52008 prime?
No
What is the prime factorization of 52008?
2³ × 3 × 11 × 197
Is 52008 a perfect square?
No
What is 52008 in binary?
1100101100101000

Read calculation methodology