45738496 has 40 divisors (see below), whose sum is σ = 92131380. Its totient is φ = 22683648.

The previous prime is 45738479. The next prime is 45738509. The reversal of 45738496 is 69483754.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 3748096 = 6480^2 + 1936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80100 + ... + 80668.

Almost surely, 2^45738496 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 45738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46065690).

45738496 is an abundant number, since it is smaller than the sum of its proper divisors (46392884).

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

45738496 is an equidigital number, since it uses as much as digits as its factorization.

45738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 45738496 is about 6763.0241756185. The cubic root of 45738496 is about 357.6245244071.

The spelling of 45738496 in words is "forty-five million, seven hundred thirty-eight thousand, four hundred ninety-six".