48112900 has 72 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 17328000.

The previous prime is 48112891. The next prime is 48112903. The reversal of 48112900 is 921184.

It is a happy number.

It is a super-2 number, since 2×48112900² = 4629702292820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (48112903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 209986 + ... + 210214.

It is an arithmetic number, because the mean of its divisors is an integer number (1597120).

Almost surely, 2^48112900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48112900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

48112900 is an abundant number, since it is smaller than the sum of its proper divisors (66879740).

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

48112900 is a wasteful number, since it uses less digits than its factorization.

48112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 48112900 is about 6936.3463004668. The cubic root of 48112900 is about 363.7088300653.

The spelling of 48112900 in words is "forty-eight million, one hundred twelve thousand, nine hundred".