50838832 has 80 divisors (see below), whose sum is σ = 118206720. Its totient is φ = 20908800.

The previous prime is 50838829. The next prime is 50838841. The reversal of 50838832 is 23883805.

It is a happy number.

50838832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 50838791 and 50838800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76582 + ... + 77242.

It is an arithmetic number, because the mean of its divisors is an integer number (1477584).

Almost surely, 2^50838832 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 50838832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59103360).

50838832 is an abundant number, since it is smaller than the sum of its proper divisors (67367888).

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

50838832 is a wasteful number, since it uses less digits than its factorization.

50838832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 50838832 is about 7130.1354825838. The cubic root of 50838832 is about 370.4519240479.

It can be divided in two parts, 508 and 38832, that added together give a triangular number (39340 = T₂₈₀).

The spelling of 50838832 in words is "fifty million, eight hundred thirty-eight thousand, eight hundred thirty-two".