49032585 has 72 divisors (see below), whose sum is σ = 101706696. Its totient is φ = 21772800.

The previous prime is 49032563. The next prime is 49032589. The reversal of 49032585 is 58523094.

49032585 is a `hidden beast` number, since 49 + 0 + 32 + 585 = 666.

49032585 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 4 ways, for example, as 22127616 + 26904969 = 4704^2 + 5187^2 .

It is not a de Polignac number, because 49032585 - 2⁵ = 49032553 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (49032589) 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 71 ways as a sum of consecutive naturals, for example, 81285 + ... + 81885.

It is an arithmetic number, because the mean of its divisors is an integer number (1412593).

Almost surely, 2^49032585 is an apocalyptic number.

49032585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49032585 is an abundant number, since it is smaller than the sum of its proper divisors (52674111).

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

49032585 is a wasteful number, since it uses less digits than its factorization.

49032585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 49032585 is about 7002.3271131817. The cubic root of 49032585 is about 366.0116676384.

The spelling of 49032585 in words is "forty-nine million, thirty-two thousand, five hundred eighty-five".