45296952 has 64 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 14449920.

The previous prime is 45296947. The next prime is 45296957. The reversal of 45296952 is 25969254.

45296952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45296947) and next prime (45296957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45296957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79324 + ... + 79892.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2^45296952 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 45296952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

45296952 is an abundant number, since it is smaller than the sum of its proper divisors (72898248).

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

45296952 is a wasteful number, since it uses less digits than its factorization.

45296952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 45296952 is about 6730.3010333862. The cubic root of 45296952 is about 356.4700058103.

The spelling of 45296952 in words is "forty-five million, two hundred ninety-six thousand, nine hundred fifty-two".