45642756 has 48 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 13929984.

The previous prime is 45642713. The next prime is 45642761. The reversal of 45642756 is 65724654.

It is a super-2 number, since 2×45642756² = 4166522350551072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4525 + ... + 10571.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^45642756 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 45642756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

45642756 is an abundant number, since it is smaller than the sum of its proper divisors (70188540).

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

45642756 is a wasteful number, since it uses less digits than its factorization.

45642756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6106 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 45642756 is about 6755.9422732880. The cubic root of 45642756 is about 357.3748230797.

The spelling of 45642756 in words is "forty-five million, six hundred forty-two thousand, seven hundred fifty-six".