45526624 has 48 divisors (see below), whose sum is σ = 105310800. Its totient is φ = 19100160.

The previous prime is 45526609. The next prime is 45526639. The reversal of 45526624 is 42662554.

45526624 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 (45526609) and next prime (45526639).

It is a self number, because there is not a number n which added to its sum of digits gives 45526624.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 399 + ... + 9550.

It is an arithmetic number, because the mean of its divisors is an integer number (2193975).

Almost surely, 2^45526624 is an apocalyptic number.

45526624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45526624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52655400).

45526624 is an abundant number, since it is smaller than the sum of its proper divisors (59784176).

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

45526624 is a wasteful number, since it uses less digits than its factorization.

45526624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9975 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 45526624 is about 6747.3419951860. The cubic root of 45526624 is about 357.0714678795.

The spelling of 45526624 in words is "forty-five million, five hundred twenty-six thousand, six hundred twenty-four".