49784832 has 144 divisors (see below), whose sum is σ = 149696820. Its totient is φ = 15925248.

The previous prime is 49784831. The next prime is 49784837. The reversal of 49784832 is 23848794.

49784832 is a `hidden beast` number, since 497 + 84 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 3326976 = 6816^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (49784831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681948 + ... + 682020.

Almost surely, 2^49784832 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 49784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74848410).

49784832 is an abundant number, since it is smaller than the sum of its proper divisors (99911988).

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

49784832 is a wasteful number, since it uses less digits than its factorization.

49784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 49784832 is about 7055.8367328050. The cubic root of 49784832 is about 367.8739328731.

The spelling of 49784832 in words is "forty-nine million, seven hundred eighty-four thousand, eight hundred thirty-two".