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252 (number)

252 is a natural number following 251 and preceding 253. It is an even number.

Mathematical Properties

  • 252 is a composite number. Its divisors are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252.
  • 252 is a highly composite number, meaning it has more divisors than any smaller positive integer.
  • 252 is a Harshad number because it is divisible by the sum of its digits (2 + 5 + 2 = 9, and 252 / 9 = 28).
  • 252 is a repdigit in base 6 (1100base6).
  • 252 is the sum of six consecutive primes: 31 + 37 + 41 + 43 + 47 + 53 = 252.

Other Occurrences

While not a number of significant mathematical importance in itself, 252 may appear in various contexts:

  • It can be found as a solution to certain mathematical problems.
  • It may be used as an identifying number, such as a product code, model number, or similar designation.
  • It could relate to a quantity or measurement in a specific domain.