48003624 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 15111360.

The previous prime is 48003619. The next prime is 48003629. The reversal of 48003624 is 42630084.

48003624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48003619) and next prime (48003629).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48003629) 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 31 ways as a sum of consecutive naturals, for example, 448579 + ... + 448685.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^48003624 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 48003624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

48003624 is an abundant number, since it is smaller than the sum of its proper divisors (93001176).

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

48003624 is a wasteful number, since it uses less digits than its factorization.

48003624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48003624 is about 6928.4647650111. The cubic root of 48003624 is about 363.4332645099.

The spelling of 48003624 in words is "forty-eight million, three thousand, six hundred twenty-four".