45552584 has 64 divisors (see below), whose sum is σ = 108051840. Its totient is φ = 17487360.

The previous prime is 45552569. The next prime is 45552589. The reversal of 45552584 is 48525554.

45552584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45552589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44462 + ... + 45474.

It is an arithmetic number, because the mean of its divisors is an integer number (1688310).

Almost surely, 2^45552584 is an apocalyptic number.

45552584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45552584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025920).

45552584 is an abundant number, since it is smaller than the sum of its proper divisors (62499256).

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

45552584 is a wasteful number, since it uses less digits than its factorization.

45552584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

The square root of 45552584 is about 6749.2654415129. The cubic root of 45552584 is about 357.1393242470.

The spelling of 45552584 in words is "forty-five million, five hundred fifty-two thousand, five hundred eighty-four".