45382032 has 150 divisors (see below), whose sum is σ = 140054838. Its totient is φ = 14183424.

The previous prime is 45382031. The next prime is 45382063. The reversal of 45382032 is 23028354.

45382032 is a `hidden beast` number, since 453 + 8 + 203 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37896336 + 7485696 = 6156^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45381987 and 45382005.

It is not an unprimeable number, because it can be changed into a prime (45382031) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467808 + ... + 467904.

Almost surely, 2^45382032 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 45382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70027419).

45382032 is an abundant number, since it is smaller than the sum of its proper divisors (94672806).

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

45382032 is a wasteful number, since it uses less digits than its factorization.

45382032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45382032 is about 6736.6187364285. The cubic root of 45382032 is about 356.6930487759.

The spelling of 45382032 in words is "forty-five million, three hundred eighty-two thousand, thirty-two".