50819200 has 48 divisors (see below), whose sum is σ = 125547210. Its totient is φ = 20326400.

The previous prime is 50819183. The next prime is 50819203. The reversal of 50819200 is 291805.

It can be written as a sum of positive squares in 3 ways, for example, as 47224384 + 3594816 = 6872^2 + 1896^2 .

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 (50819203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4741 + ... + 11140.

Almost surely, 2^50819200 is an apocalyptic number.

50819200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50819200 is an abundant number, since it is smaller than the sum of its proper divisors (74728010).

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

50819200 is a wasteful number, since it uses less digits than its factorization.

50819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15905 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 50819200 is about 7128.7586577187. The cubic root of 50819200 is about 370.4042331508.

It can be divided in two parts, 50 and 819200, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 50819200 in words is "fifty million, eight hundred nineteen thousand, two hundred".