50050 has 48 divisors (see below), whose sum is σ = 124992. Its totient is φ = 14400.

The previous prime is 50047. The next prime is 50051. The reversal of 50050 is 5005.

50050 = 28² + 29² + ... + 55².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (50051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3844 + ... + 3856.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2⁵⁰⁰⁵⁰ is an apocalyptic number.

50050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50050 is an abundant number, since it is smaller than the sum of its proper divisors (74942).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

50050 is a wasteful number, since it uses less digits than its factorization.

50050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 50050 is about 223.7185732120. The cubic root of 50050 is about 36.8525910003.

Multiplying 50050 by its sum of digits (10), we get a triangular number (500500 = T₁₀₀₀).

50050 divided by its sum of digits (10) gives a palindrome (5005).

50050 divided by its product of nonzero digits (25) gives a palindrome (2002).

Adding to 50050 its reverse (5005), we get a palindrome (55055).

The spelling of 50050 in words is "fifty thousand, fifty", and thus it is an eban number.