45031936 has 40 divisors (see below), whose sum is σ = 90584604. Its totient is φ = 22364160.

The previous prime is 45031891. The next prime is 45031937. The reversal of 45031936 is 63913054.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 3041536 = 6480^2 + 1744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45031898 and 45031907.

It is not an unprimeable number, because it can be changed into a prime (45031937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143716 + ... + 144028.

Almost surely, 2^45031936 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 45031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292302).

45031936 is an abundant number, since it is smaller than the sum of its proper divisors (45552668).

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

45031936 is an equidigital number, since it uses as much as digits as its factorization.

45031936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 45031936 is about 6710.5838792165. The cubic root of 45031936 is about 355.7734534737.

The spelling of 45031936 in words is "forty-five million, thirty-one thousand, nine hundred thirty-six".