45117936 has 60 divisors (see below), whose sum is σ = 127244832. Its totient is φ = 14923008.

The previous prime is 45117931. The next prime is 45117959. The reversal of 45117936 is 63971154.

45117936 is a `hidden beast` number, since 451 + 179 + 36 = 666.

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 45117936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45117931) 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, 18585 + ... + 20871.

Almost surely, 2^45117936 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 45117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63622416).

45117936 is an abundant number, since it is smaller than the sum of its proper divisors (82126896).

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

45117936 is a wasteful number, since it uses less digits than its factorization.

45117936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

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

The square root of 45117936 is about 6716.9886109774. The cubic root of 45117936 is about 355.9997895887. Note that the first 3 decimals are identical.

The spelling of 45117936 in words is "forty-five million, one hundred seventeen thousand, nine hundred thirty-six".