50984800 has 72 divisors (see below), whose sum is σ = 125898192. Its totient is φ = 20160000.

The previous prime is 50984797. The next prime is 50984803. The reversal of 50984800 is 848905.

50984800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50984797) and next prime (50984803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50984803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 80485 + ... + 81115.

It is an arithmetic number, because the mean of its divisors is an integer number (1748586).

Almost surely, 2^50984800 is an apocalyptic number.

50984800 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 50984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62949096).

50984800 is an abundant number, since it is smaller than the sum of its proper divisors (74913392).

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

50984800 is a wasteful number, since it uses less digits than its factorization.

50984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 50984800 is about 7140.3641363729. The cubic root of 50984800 is about 370.8061313492.

The spelling of 50984800 in words is "fifty million, nine hundred eighty-four thousand, eight hundred".