50563584 has 60 divisors (see below), whose sum is σ = 145943226. Its totient is φ = 16852992.

The previous prime is 50563567. The next prime is 50563609. The reversal of 50563584 is 48536505.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 8573184 = 6480^2 + 2928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879 + ... + 10094.

Almost surely, 2^50563584 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 50563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72971613).

50563584 is an abundant number, since it is smaller than the sum of its proper divisors (95379642).

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

50563584 is a wasteful number, since it uses less digits than its factorization.

50563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 50563584 is about 7110.8075490763. The cubic root of 50563584 is about 369.7821556708.

The spelling of 50563584 in words is "fifty million, five hundred sixty-three thousand, five hundred eighty-four".