49936800 has 72 divisors (see below), whose sum is σ = 162552096. Its totient is φ = 13315840.

The previous prime is 49936787. The next prime is 49936801. The reversal of 49936800 is 863994.

It is not an unprimeable number, because it can be changed into a prime (49936801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8004 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 2^49936800 is an apocalyptic number.

49936800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49936800 is an abundant number, since it is smaller than the sum of its proper divisors (112615296).

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

49936800 is a wasteful number, since it uses less digits than its factorization.

49936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20830 (or 20817 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 49936800 is about 7066.5974839381. The cubic root of 49936800 is about 368.2478638914.

The spelling of 49936800 in words is "forty-nine million, nine hundred thirty-six thousand, eight hundred".