Thursday, January 2, 2014

752

752 = 2 x 2 x 2 x 2 x 47. It is the product of the fourth power of a prime and a different prime (A178739).

752 is the sum of distinct factorials (A059590): 752 = 6! + 4! + 3! + 2!

752 is the number of ways of writing 20 as the sum of five squares (A000132).

The sum of the digits of 752 (14) equals the sum of the digits of the 752nd prime (5711) (A033549).

752 is a number that is the sum of no fewer than 17 fourth powers (A099591).

752 is the number of conjugacy classes in the automorphism group of the 11-dimensional hypercube.


Source: What's Special About This Number?

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