45583104 has 144 divisors (see below), whose sum is σ = 141935360. Its totient is φ = 12718080.

The previous prime is 45583081. The next prime is 45583133. The reversal of 45583104 is 40138554.

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 15 ways as a sum of consecutive naturals, for example, 327867 + ... + 328005.

Almost surely, 2^45583104 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 45583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70967680).

45583104 is an abundant number, since it is smaller than the sum of its proper divisors (96352256).

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

45583104 is a wasteful number, since it uses less digits than its factorization.

45583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45583104 is about 6751.5260497165. The cubic root of 45583104 is about 357.2190669519.

The spelling of 45583104 in words is "forty-five million, five hundred eighty-three thousand, one hundred four".