50048800 has 72 divisors (see below), whose sum is σ = 123999876. Its totient is φ = 19722240.

The previous prime is 50048797. The next prime is 50048807. The reversal of 50048800 is 884005.

It can be written as a sum of positive squares in 6 ways, for example, as 32307856 + 17740944 = 5684^2 + 4212^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (50048807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57972 + ... + 58828.

Almost surely, 2^50048800 is an apocalyptic number.

50048800 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 50048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61999938).

50048800 is an abundant number, since it is smaller than the sum of its proper divisors (73951076).

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

50048800 is a wasteful number, since it uses less digits than its factorization.

50048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 50048800 is about 7074.5176514021. The cubic root of 50048800 is about 368.5229647175.

The spelling of 50048800 in words is "fifty million, forty-eight thousand, eight hundred".