45527292 has 96 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 14100480.

The previous prime is 45527269. The next prime is 45527297. The reversal of 45527292 is 29272554.

It is a happy number.

45527292 is a `hidden beast` number, since 45 + 527 + 2 + 92 = 666.

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 (45527297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251442 + ... + 251622.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 2^45527292 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 45527292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

45527292 is an abundant number, since it is smaller than the sum of its proper divisors (81057348).

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

45527292 is a wasteful number, since it uses less digits than its factorization.

45527292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45527292 is about 6747.3914959783. The cubic root of 45527292 is about 357.0732142758.

The spelling of 45527292 in words is "forty-five million, five hundred twenty-seven thousand, two hundred ninety-two".