45286032 has 80 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 13622400.

The previous prime is 45286027. The next prime is 45286049. The reversal of 45286032 is 23068254.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104857 + ... + 105287.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^45286032 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 45286032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

45286032 is an abundant number, since it is smaller than the sum of its proper divisors (83277168).

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

45286032 is a wasteful number, since it uses less digits than its factorization.

45286032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45286032 is about 6729.4897280552. The cubic root of 45286032 is about 356.4413580747.

The spelling of 45286032 in words is "forty-five million, two hundred eighty-six thousand, thirty-two".