49605584 has 40 divisors (see below), whose sum is σ = 110492928. Its totient is φ = 21133440.

The previous prime is 49605583. The next prime is 49605587. The reversal of 49605584 is 48550694.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49605581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19049 + ... + 21495.

Almost surely, 2^49605584 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 49605584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55246464).

49605584 is an abundant number, since it is smaller than the sum of its proper divisors (60887344).

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

49605584 is a wasteful number, since it uses less digits than its factorization.

49605584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 49605584 is about 7043.1231708667. The cubic root of 49605584 is about 367.4318975414.

The spelling of 49605584 in words is "forty-nine million, six hundred five thousand, five hundred eighty-four".