56385090 has 96 divisors (see below), whose sum is σ = 156939120. Its totient is φ = 13996032.

The previous prime is 56385089. The next prime is 56385097. The reversal of 56385090 is 9058365.

56385090 is a `hidden beast` number, since 563 + 8 + 5 + 0 + 90 = 666.

56385090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20277009 + 36108081 = 4503^2 + 6009^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56385097) 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 47 ways as a sum of consecutive naturals, for example, 209476 + ... + 209744.

Almost surely, 2^56385090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56385090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78469560).

56385090 is an abundant number, since it is smaller than the sum of its proper divisors (100554030).

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

56385090 is a wasteful number, since it uses less digits than its factorization.

56385090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56385090 is about 7509.0005992808. Note that the first 3 decimals coincide. The cubic root of 56385090 is about 383.4611990999.

The spelling of 56385090 in words is "fifty-six million, three hundred eighty-five thousand, ninety".