50996952 has 96 divisors (see below), whose sum is σ = 147310800. Its totient is φ = 16516224.

The previous prime is 50996941. The next prime is 50996987. The reversal of 50996952 is 25969905.

50996952 is a `hidden beast` number, since 509 + 96 + 9 + 52 = 666.

It is a super-2 number, since 2×50996952² = 5201378226580608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 50996898 and 50996907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71574 + ... + 72282.

Almost surely, 2^50996952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50996952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73655400).

50996952 is an abundant number, since it is smaller than the sum of its proper divisors (96313848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50996952 is a wasteful number, since it uses less digits than its factorization.

50996952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 50996952 is about 7141.2150226695. The cubic root of 50996952 is about 370.8355890056.

It can be divided in two parts, 509 and 96952, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 50996952 in words is "fifty million, nine hundred ninety-six thousand, nine hundred fifty-two".