50024 has 24 divisors (see below), whose sum is σ = 104310. Its totient is φ = 22464.

The previous prime is 50023. The next prime is 50033. The reversal of 50024 is 42005.

50024 = 15² + 16² + ... + 53².

50024 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 36100 + 13924 = 190^2 + 118^2 .

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 49987 and 50014.

It is not an unprimeable number, because it can be changed into a prime (50021) by changing a digit.

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, 1334 + ... + 1370.

2⁵⁰⁰²⁴ 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 50024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52155).

50024 is an abundant number, since it is smaller than the sum of its proper divisors (54286).

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

50024 is a wasteful number, since it uses less digits than its factorization.

50024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 50024 is about 223.6604569431. The cubic root of 50024 is about 36.8462084939.

Adding to 50024 its reverse (42005), we get a palindrome (92029).

The spelling of 50024 in words is "fifty thousand, twenty-four".