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47088

Number 47088: Properties, Factors, and Mathematical Facts

Short answer

The number 47088 is an even composite number with 40 positive divisors. Its prime factorization is 2⁴ × 3³ × 109. It is also an abundant number, which gives it several notable mathematical relationships.

Is 47088 prime?

ClassificationCompositeParityEvenDivisor count40AbundanceAbundant

What is the prime factorization of 47088?

Prime factorization

47088 =
2 to the power of 4 times 3 cubed times 109
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What are the divisors of 47088?

Divisor count

40

Divisor sum

136,400

Proper divisor sum

89,312
  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 9
  • 12
  • 16
  • 18
  • 24
  • 27
  • 36
  • 48
  • 54
  • 72
  • 108
  • 109
  • 144
  • 216
  • 218
  • 327
  • 432
  • 436

How is 47088 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 47088 represented in other numeral systems?

Decimal

47088

Binary

1011011111110000
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Octal

133760

Hexadecimal

Roman

No conventional Roman numeral

In words

forty seven thousand eighty eight

Roots and powers

Square root

216.997696 Approximate

Cube root

36.110770 Approximate

Nearest lower square

46656

Nearest higher square

47089

Nearest lower cube

46656

Nearest higher cube

50653

What are the digit properties of 47088?

Digit count

5

Digit sum

Digit product

0

Digital root

9

Reversed number

88074

Why these results are true

  • 47088 is composite because it has positive divisors other than 1 and itself.
  • 47088 is abundant because the sum of its proper divisors (89312) is greater than 47088.

Compare this number

FAQ for 47088

Is 47088 prime?
No
What is the prime factorization of 47088?
2⁴ × 3³ × 109
Is 47088 a perfect square?
No
What is 47088 in binary?
1011011111110000

Read calculation methodology