45171936 has 72 divisors (see below), whose sum is σ = 130430664. Its totient is φ = 14826240.

The previous prime is 45171923. The next prime is 45171967. The reversal of 45171936 is 63917154.

It is a tau number, because it is divible by the number of its divisors (72).

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 45171936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18126 + ... + 20466.

It is an arithmetic number, because the mean of its divisors is an integer number (1811537).

Almost surely, 2^45171936 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 45171936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65215332).

45171936 is an abundant number, since it is smaller than the sum of its proper divisors (85258728).

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

45171936 is a wasteful number, since it uses less digits than its factorization.

45171936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2413 counting only the distinct ones).

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

The square root of 45171936 is about 6721.0070673970. The cubic root of 45171936 is about 356.1417606535.

The spelling of 45171936 in words is "forty-five million, one hundred seventy-one thousand, nine hundred thirty-six".