49987584 has 120 divisors (see below), whose sum is σ = 149417520. Its totient is φ = 16515072.

The previous prime is 49987583. The next prime is 49987589. The reversal of 49987584 is 48578994.

49987584 is a `hidden beast` number, since 499 + 8 + 75 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49987584.

It is not an unprimeable number, because it can be changed into a prime (49987583) 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, 442312 + ... + 442424.

It is an arithmetic number, because the mean of its divisors is an integer number (1245146).

Almost surely, 2^49987584 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 49987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74708760).

49987584 is an abundant number, since it is smaller than the sum of its proper divisors (99429936).

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

49987584 is an equidigital number, since it uses as much as digits as its factorization.

49987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 49987584 is about 7070.1898135764. The cubic root of 49987584 is about 368.3726533829.

The spelling of 49987584 in words is "forty-nine million, nine hundred eighty-seven thousand, five hundred eighty-four".