45582856 has 64 divisors (see below), whose sum is σ = 97044480. Its totient is φ = 19894080.

The previous prime is 45582851. The next prime is 45582871. The reversal of 45582856 is 65828554.

It is a super-2 number, since 2×45582856² = 4155593522233472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45582851) by changing a digit.

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, 425955 + ... + 426061.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 2^45582856 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 45582856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48522240).

45582856 is an abundant number, since it is smaller than the sum of its proper divisors (51461624).

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

45582856 is a wasteful number, since it uses less digits than its factorization.

45582856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 384000, while the sum is 43.

The square root of 45582856 is about 6751.5076834734. The cubic root of 45582856 is about 357.2184191205.

The spelling of 45582856 in words is "forty-five million, five hundred eighty-two thousand, eight hundred fifty-six".