50576 has 20 divisors (see below), whose sum is σ = 102300. Its totient is φ = 24192.

The previous prime is 50551. The next prime is 50581. The reversal of 50576 is 67505.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 19600 = 176^2 + 140^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (5115).

2⁵⁰⁵⁷⁶ 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 50576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51150).

50576 is an abundant number, since it is smaller than the sum of its proper divisors (51724).

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

50576 is a wasteful number, since it uses less digits than its factorization.

50576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 50576 is about 224.8910847499. The cubic root of 50576 is about 36.9812420136.

It can be divided in two parts, 50 and 576, that added together give a palindrome (626).

The spelling of 50576 in words is "fifty thousand, five hundred seventy-six".