45256032 has 144 divisors (see below), whose sum is σ = 137434752. Its totient is φ = 14100480.

The previous prime is 45256007. The next prime is 45256049. The reversal of 45256032 is 23065254.

45256032 is a `hidden beast` number, since 4 + 52 + 5 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 45255987 and 45256005.

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 23 ways as a sum of consecutive naturals, for example, 330268 + ... + 330404.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 2^45256032 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 45256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717376).

45256032 is an abundant number, since it is smaller than the sum of its proper divisors (92178720).

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

45256032 is a wasteful number, since it uses less digits than its factorization.

45256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45256032 is about 6727.2603636250. The cubic root of 45256032 is about 356.3626317920.

The spelling of 45256032 in words is "forty-five million, two hundred fifty-six thousand, thirty-two".