45943632 has 80 divisors (see below), whose sum is σ = 150724480. Its totient is φ = 13125888.

The previous prime is 45943589. The next prime is 45943637. The reversal of 45943632 is 23634954.

45943632 is a `hidden beast` number, since 4 + 594 + 3 + 63 + 2 = 666.

It is a super-2 number, since 2×45943632² = 4221634642702848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45943637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4573 + ... + 10620.

It is an arithmetic number, because the mean of its divisors is an integer number (1884056).

Almost surely, 2^45943632 is an apocalyptic number.

45943632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45943632 is an abundant number, since it is smaller than the sum of its proper divisors (104780848).

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

45943632 is a wasteful number, since it uses less digits than its factorization.

45943632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217 (or 15205 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 45943632 is about 6778.1732052228. The cubic root of 45943632 is about 358.1583727569.

The spelling of 45943632 in words is "forty-five million, nine hundred forty-three thousand, six hundred thirty-two".