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529984

Number 529984: Properties, Factors, and Mathematical Facts

Short answer

The number 529984 is an even composite number with 63 positive divisors. Its prime factorization is 2⁶ × 7² × 13². It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.

Is 529984 prime?

ClassificationCompositeParityEvenDivisor count63AbundanceAbundant

What is the prime factorization of 529984?

Prime factorization

529984 =
2 to the power of 6 times 7 squared times 13 squared
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What are the divisors of 529984?

Divisor count

63

Divisor sum

1,324,737

Proper divisor sum

794,753
  • 1
  • 2
  • 4
  • 7
  • 8
  • 13
  • 14
  • 16
  • 26
  • 28
  • 32
  • 49
  • 52
  • 56
  • 64
  • 91
  • 98
  • 104
  • 112
  • 169
  • 182
  • 196
  • 208
  • 224

How is 529984 classified?

Prime

Perfect square

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 529984 represented in other numeral systems?

Decimal

529984

Binary

10000001011001000000
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Octal

2013100

Hexadecimal

81640
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Roman

No conventional Roman numeral

In words

five hundred twenty nine thousand nine hundred eighty four

Roots and powers

Square root

728 Exact

Cube root

80.925909 Approximate

Nearest lower square

529984

Nearest higher square

531441

Nearest lower cube

512000

Nearest higher cube

531441

What are the digit properties of 529984?

Digit count

6

Digit sum

Digit product

25920

Digital root

1

Reversed number

489925

Why these results are true

  • 529984 is composite because it has positive divisors other than 1 and itself.
  • 529984 is abundant because the sum of its proper divisors (794753) is greater than 529984.

Compare this number

FAQ for 529984

Is 529984 prime?
No
What is the prime factorization of 529984?
2⁶ × 7² × 13²
Is 529984 a perfect square?
Yes
What is 529984 in binary?
10000001011001000000

Read calculation methodology