50182400 has 54 divisors (see below), whose sum is σ = 124225122. Its totient is φ = 20070400.

The previous prime is 50182393. The next prime is 50182411. The reversal of 50182400 is 428105.

50182400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1517824 + 48664576 = 1232^2 + 6976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2480 + ... + 10320.

Almost surely, 2^50182400 is an apocalyptic number.

50182400 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 50182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112561).

50182400 is an abundant number, since it is smaller than the sum of its proper divisors (74042722).

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

50182400 is an equidigital number, since it uses as much as digits as its factorization.

50182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 50182400 is about 7083.9536983241. The cubic root of 50182400 is about 368.8505844541.

The spelling of 50182400 in words is "fifty million, one hundred eighty-two thousand, four hundred".