49956800 has 42 divisors (see below), whose sum is σ = 122928888. Its totient is φ = 19982080.

The previous prime is 49956791. The next prime is 49956827. The reversal of 49956800 is 865994.

49956800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 14012 + ... + 17211.

Almost surely, 2^49956800 is an apocalyptic number.

49956800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49956800 is an abundant number, since it is smaller than the sum of its proper divisors (72972088).

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

49956800 is a wasteful number, since it uses less digits than its factorization.

49956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31245 (or 31230 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 49956800 is about 7068.0124504701. The cubic root of 49956800 is about 368.2970191854.

The spelling of 49956800 in words is "forty-nine million, nine hundred fifty-six thousand, eight hundred".