45756792 has 96 divisors (see below), whose sum is σ = 135202800. Its totient is φ = 14335488.

The previous prime is 45756791. The next prime is 45756817. The reversal of 45756792 is 29765754.

45756792 is a `hidden beast` number, since 4 + 575 + 6 + 79 + 2 = 666.

45756792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45756791) 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 23 ways as a sum of consecutive naturals, for example, 62058 + ... + 62790.

Almost surely, 2^45756792 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 45756792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67601400).

45756792 is an abundant number, since it is smaller than the sum of its proper divisors (89446008).

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

45756792 is a wasteful number, since it uses less digits than its factorization.

45756792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 755 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 45756792 is about 6764.3766896884. The cubic root of 45756792 is about 357.6722028882.

The spelling of 45756792 in words is "forty-five million, seven hundred fifty-six thousand, seven hundred ninety-two".