45792016 has 20 divisors (see below), whose sum is σ = 93941532. Its totient is φ = 21549056.

The previous prime is 45792001. The next prime is 45792031. The reversal of 45792016 is 61029754.

45792016 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 (45792001) and next prime (45792031).

It can be written as a sum of positive squares in 2 ways, for example, as 39740416 + 6051600 = 6304^2 + 2460^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 83905 + ... + 84448.

Almost surely, 2^45792016 is an apocalyptic number.

It is an amenable number.

45792016 is an abundant number, since it is smaller than the sum of its proper divisors (48149516).

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

45792016 is a wasteful number, since it uses less digits than its factorization.

45792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168378 (or 168372 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 45792016 is about 6766.9798285498. The cubic root of 45792016 is about 357.7639591329.

The spelling of 45792016 in words is "forty-five million, seven hundred ninety-two thousand, sixteen".