252 is an even composite number composed of three prime numbers multiplied together.

252 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 252:

22 × 32 × 7

(2 × 2 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 252 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 252

  • Cardinal: 252 can be written as Two hundred fifty-two.

Scientific notation

  • Scientific notation: 2.52 × 102

Factors of 252

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 12

Divisors of 252

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 728
  • Sum of proper divisors (its aliquot sum) s(n): 476
  • 252 is an abundant number, because the sum of its proper divisors (476) is greater than itself. Its abundance is 224

Bases of 252

  • Binary: 11111100 2
  • Hexadecimal: 0xfc

Squares and roots of 252

  • 252 squared (2522) is 63504
  • 252 cubed (2523) is 16003008
  • The square root of 252 is 15.8745078665
  • The cube root of 252 is 6.3163595977

Scales and comparisons

How big is 252?
  • 252 seconds is equal to 4 minutes, 12 seconds.
  • To count from 1 to 252 would take you about two minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000.

    Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!

  • A cube with a volume of 252 cubic inches would be around 0.5 feet tall.

Recreational maths with 252

  • 252 is the same when its digits are reversed! That makes it a palindromic number.
  • 252 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 252's digits is 9
  • More coming soon!

The information we have on file for 252 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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