45536256 has 154 divisors (see below), whose sum is σ = 138717002. Its totient is φ = 14929920.

The previous prime is 45536243. The next prime is 45536273. The reversal of 45536256 is 65263554.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 18662400 = 5184^2 + 4320^2 .

It is a super-2 number, since 2×45536256² = 4147101220995072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45536256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746466 + ... + 746526.

Almost surely, 2^45536256 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 45536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69358501).

45536256 is an abundant number, since it is smaller than the sum of its proper divisors (93180746).

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

45536256 is an frugal number, since it uses more digits than its factorization.

45536256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45536256 is about 6748.0557199833. The cubic root of 45536256 is about 357.0966477966.

The spelling of 45536256 in words is "forty-five million, five hundred thirty-six thousand, two hundred fifty-six".