45739932 has 72 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 12928608.

The previous prime is 45739921. The next prime is 45739943. The reversal of 45739932 is 23993754.

It is an interprime number because it is at equal distance from previous prime (45739921) and next prime (45739943).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62553 + ... + 63279.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^45739932 is an apocalyptic number.

45739932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45739932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

45739932 is an abundant number, since it is smaller than the sum of its proper divisors (79743972).

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

45739932 is a wasteful number, since it uses less digits than its factorization.

45739932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 45739932 is about 6763.1303403084. The cubic root of 45739932 is about 357.6282670127.

The spelling of 45739932 in words is "forty-five million, seven hundred thirty-nine thousand, nine hundred thirty-two".