45747288 has 128 divisors (see below), whose sum is σ = 136512000. Its totient is φ = 14152320.

The previous prime is 45747277. The next prime is 45747301. The reversal of 45747288 is 88274754.

45747288 is a `hidden beast` number, since 4 + 574 + 72 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 291306 + ... + 291462.

It is an arithmetic number, because the mean of its divisors is an integer number (1066500).

Almost surely, 2^45747288 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 45747288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68256000).

45747288 is an abundant number, since it is smaller than the sum of its proper divisors (90764712).

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

45747288 is a wasteful number, since it uses less digits than its factorization.

45747288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 45747288 is about 6763.6741494546. The cubic root of 45747288 is about 357.6474375157.

The spelling of 45747288 in words is "forty-five million, seven hundred forty-seven thousand, two hundred eighty-eight".