48112800 has 72 divisors (see below), whose sum is σ = 156614976. Its totient is φ = 12829440.

The previous prime is 48112793. The next prime is 48112811. The reversal of 48112800 is 821184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7624 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (2175208).

Almost surely, 2^48112800 is an apocalyptic number.

48112800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48112800 is an abundant number, since it is smaller than the sum of its proper divisors (108502176).

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

48112800 is a wasteful number, since it uses less digits than its factorization.

48112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20070 (or 20057 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 48112800 is about 6936.3390920571. The cubic root of 48112800 is about 363.7085780822.

Adding to 48112800 its reverse (821184), we get a palindrome (48933984).

The spelling of 48112800 in words is "forty-eight million, one hundred twelve thousand, eight hundred".