45756256 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 17127936.

The previous prime is 45756241. The next prime is 45756281. The reversal of 45756256 is 65265754.

45756256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 54915 + ... + 55741.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^45756256 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 45756256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

45756256 is an abundant number, since it is smaller than the sum of its proper divisors (71091104).

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

45756256 is a wasteful number, since it uses less digits than its factorization.

45756256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 252000, while the sum is 40.

The square root of 45756256 is about 6764.3370702531. The cubic root of 45756256 is about 357.6708062792.

The spelling of 45756256 in words is "forty-five million, seven hundred fifty-six thousand, two hundred fifty-six".