49785984 has 96 divisors (see below), whose sum is σ = 149572800. Its totient is φ = 15865344.

The previous prime is 49785949. The next prime is 49785991. The reversal of 49785984 is 48958794.

49785984 is a `hidden beast` number, since 49 + 7 + 8 + 598 + 4 = 666.

49785984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49785984.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25557 + ... + 27435.

It is an arithmetic number, because the mean of its divisors is an integer number (1558050).

Almost surely, 2^49785984 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 49785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74786400).

49785984 is an abundant number, since it is smaller than the sum of its proper divisors (99786816).

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

49785984 is a wasteful number, since it uses less digits than its factorization.

49785984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1907 counting only the distinct ones).

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

The square root of 49785984 is about 7055.9183668747. The cubic root of 49785984 is about 367.8767703337.

The spelling of 49785984 in words is "forty-nine million, seven hundred eighty-five thousand, nine hundred eighty-four".