45711936 has 84 divisors (see below), whose sum is σ = 133275324. Its totient is φ = 14976000.

The previous prime is 45711931. The next prime is 45711937. The reversal of 45711936 is 63911754.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 45158400 = 744^2 + 6720^2 .

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 45711936.

It is not an unprimeable number, because it can be changed into a prime (45711931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34486 + ... + 35786.

It is an arithmetic number, because the mean of its divisors is an integer number (1586611).

Almost surely, 2^45711936 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 45711936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66637662).

45711936 is an abundant number, since it is smaller than the sum of its proper divisors (87563388).

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

45711936 is a wasteful number, since it uses less digits than its factorization.

45711936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1367 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 45711936 is about 6761.0602718804. The cubic root of 45711936 is about 357.5552877148. Note that the first 3 decimals are identical.

The spelling of 45711936 in words is "forty-five million, seven hundred eleven thousand, nine hundred thirty-six".