45582768 has 120 divisors (see below), whose sum is σ = 159085056. Its totient is φ = 11836800.

The previous prime is 45582743. The next prime is 45582769. The reversal of 45582768 is 86728554.

45582768 is a `hidden beast` number, since 4 + 5 + 582 + 7 + 68 = 666.

45582768 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 (45582769) 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 23 ways as a sum of consecutive naturals, for example, 9033 + ... + 13143.

Almost surely, 2^45582768 is an apocalyptic number.

45582768 is a gapful number since it is divisible by the number (48) 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 45582768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79542528).

45582768 is an abundant number, since it is smaller than the sum of its proper divisors (113502288).

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

45582768 is a wasteful number, since it uses less digits than its factorization.

45582768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4134 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 45582768 is about 6751.5011664074. The cubic root of 45582768 is about 357.2181892443.

The spelling of 45582768 in words is "forty-five million, five hundred eighty-two thousand, seven hundred sixty-eight".