50838800 has 60 divisors (see below), whose sum is σ = 123104100. Its totient is φ = 20175360.

The previous prime is 50838797. The next prime is 50838817. The reversal of 50838800 is 883805.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17707264 + 33131536 = 4208^2 + 5756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59174 + ... + 60026.

It is an arithmetic number, because the mean of its divisors is an integer number (2051735).

Almost surely, 2^50838800 is an apocalyptic number.

50838800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61552050).

50838800 is an abundant number, since it is smaller than the sum of its proper divisors (72265300).

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

50838800 is a wasteful number, since it uses less digits than its factorization.

50838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 50838800 is about 7130.1332385868. The cubic root of 50838800 is about 370.4518463221.

The spelling of 50838800 in words is "fifty million, eight hundred thirty-eight thousand, eight hundred".