45382536 has 48 divisors (see below), whose sum is σ = 124938060. Its totient is φ = 14878080.

The previous prime is 45382511. The next prime is 45382549. The reversal of 45382536 is 63528354.

It is a happy number.

45382536 is a `hidden beast` number, since 45 + 3 + 82 + 536 = 666.

45382536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43956900 + 1425636 = 6630^2 + 1194^2 .

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 45382536.

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 11 ways as a sum of consecutive naturals, for example, 775 + ... + 9558.

Almost surely, 2^45382536 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 45382536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62469030).

45382536 is an abundant number, since it is smaller than the sum of its proper divisors (79555524).

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

45382536 is a wasteful number, since it uses less digits than its factorization.

45382536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10399 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45382536 is about 6736.6561438150. The cubic root of 45382536 is about 356.6943692150.

The spelling of 45382536 in words is "forty-five million, three hundred eighty-two thousand, five hundred thirty-six".