45057888 has 72 divisors (see below), whose sum is σ = 135685368. Its totient is φ = 14134272.

The previous prime is 45057853. The next prime is 45057899. The reversal of 45057888 is 88875054.

45057888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 295 + ... + 9497.

It is an arithmetic number, because the mean of its divisors is an integer number (1884519).

Almost surely, 2^45057888 is an apocalyptic number.

45057888 is a gapful number since it is divisible by the number (48) 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 45057888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67842684).

45057888 is an abundant number, since it is smaller than the sum of its proper divisors (90627480).

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

45057888 is a wasteful number, since it uses less digits than its factorization.

45057888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 45057888 is about 6712.5172625476. The cubic root of 45057888 is about 355.8417846802.

The spelling of 45057888 in words is "forty-five million, fifty-seven thousand, eight hundred eighty-eight".