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29008

Number 29008: Properties, Factors, and Mathematical Facts

Short answer

The number 29008 is an even composite number with 30 positive divisors. Its prime factorization is 2⁴ × 7² × 37. It is also an abundant number, which gives it several notable mathematical relationships.

Is 29008 prime?

ClassificationCompositeParityEvenDivisor count30AbundanceAbundant

What is the prime factorization of 29008?

Prime factorization

29008 =
2 to the power of 4 times 7 squared times 37
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What are the divisors of 29008?

Divisor count

30

Divisor sum

67,146

Proper divisor sum

38,138
  • 1
  • 2
  • 4
  • 7
  • 8
  • 14
  • 16
  • 28
  • 37
  • 49
  • 56
  • 74
  • 98
  • 112
  • 148
  • 196
  • 259
  • 296
  • 392
  • 518
  • 592
  • 784
  • 1036
  • 1813

How is 29008 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 29008 represented in other numeral systems?

Decimal

29008

Binary

111000101010000
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Octal

70520

Hexadecimal

Roman

No conventional Roman numeral

In words

twenty nine thousand eight

Roots and powers

Square root

170.317351 Approximate

Cube root

30.725993 Approximate

Nearest lower square

28900

Nearest higher square

29241

Nearest lower cube

27000

Nearest higher cube

29791

What are the digit properties of 29008?

Digit count

5

Digit sum

Digit product

0

Digital root

1

Reversed number

80092

Why these results are true

  • 29008 is composite because it has positive divisors other than 1 and itself.
  • 29008 is abundant because the sum of its proper divisors (38138) is greater than 29008.

Compare this number

FAQ for 29008

Is 29008 prime?
No
What is the prime factorization of 29008?
2⁴ × 7² × 37
Is 29008 a perfect square?
No
What is 29008 in binary?
111000101010000

Read calculation methodology