50964

50964 is a positive integer in the decimal system. It is an even, composite number with a prime factorization of 2^2 × 3 × 31 × 137, meaning it has 24 positive divisors in total. The factorization also shows that it is not a prime and has multiple nontrivial factors.

In terms of magnitude and basic properties, 50964 lies between 225^2 and 226^2, since 225^2 equals 50625 and 226^2 equals 51076. Its divisibility by 3 is indicated by the sum of its decimal digits (5 + 0 + 9 + 6 + 4 = 24), which is a multiple of 3.

Representations in other bases include binary, hexadecimal, and octal. In binary, 50964 is 1100011100010100. In hexadecimal, it is 0xC714. In octal, it is 143424.

There are no widely recognized mathematical constants, theorems, or notable historical events associated specifically with the number 50964. It is primarily encountered as a concrete example of a composite number with a defined prime factorization and standard base representations.