45610752 has 72 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 13818880.

The previous prime is 45610709. The next prime is 45610753. The reversal of 45610752 is 25701654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45610753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5749 + ... + 11147.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^45610752 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 45610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

45610752 is an abundant number, since it is smaller than the sum of its proper divisors (86840448).

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

45610752 is a wasteful number, since it uses less digits than its factorization.

45610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 45610752 is about 6753.5732764219. The cubic root of 45610752 is about 357.2912749687.

The spelling of 45610752 in words is "forty-five million, six hundred ten thousand, seven hundred fifty-two".