50925200 has 60 divisors (see below), whose sum is σ = 129562020. Its totient is φ = 19169280.

The previous prime is 50925191. The next prime is 50925211. The reversal of 50925200 is 252905.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2704 + 50922496 = 52^2 + 7136^2 .

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, 3056 + ... + 10544.

It is an arithmetic number, because the mean of its divisors is an integer number (2159367).

Almost surely, 2^50925200 is an apocalyptic number.

50925200 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 50925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64781010).

50925200 is an abundant number, since it is smaller than the sum of its proper divisors (78636820).

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

50925200 is a wasteful number, since it uses less digits than its factorization.

50925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 50925200 is about 7136.1894593684. The cubic root of 50925200 is about 370.6615872073.

The spelling of 50925200 in words is "fifty million, nine hundred twenty-five thousand, two hundred".