48735624 has 64 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 13817664.

The previous prime is 48735587. The next prime is 48735629. The reversal of 48735624 is 42653784.

It is a happy number.

48735624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48735624² = 4750322093338752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48735629) 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 15 ways as a sum of consecutive naturals, for example, 22309 + ... + 24395.

It is an arithmetic number, because the mean of its divisors is an integer number (2192400).

Almost surely, 2^48735624 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 48735624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

48735624 is an abundant number, since it is smaller than the sum of its proper divisors (91577976).

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

48735624 is a wasteful number, since it uses less digits than its factorization.

48735624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2238 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 48735624 is about 6981.0904592334. The cubic root of 48735624 is about 365.2712664138.

The spelling of 48735624 in words is "forty-eight million, seven hundred thirty-five thousand, six hundred twenty-four".