45042336 has 72 divisors (see below), whose sum is σ = 132530580. Its totient is φ = 14493696.

The previous prime is 45042323. The next prime is 45042337. The reversal of 45042336 is 63324054.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 3825936 = 6420^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45042337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5656 + ... + 11048.

Almost surely, 2^45042336 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 45042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66265290).

45042336 is an abundant number, since it is smaller than the sum of its proper divisors (87488244).

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

45042336 is a wasteful number, since it uses less digits than its factorization.

45042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45042336 is about 6711.3587297953. The cubic root of 45042336 is about 355.8008396611.

The spelling of 45042336 in words is "forty-five million, forty-two thousand, three hundred thirty-six".