49782016 has 36 divisors (see below), whose sum is σ = 100156000. Its totient is φ = 24694272.

The previous prime is 49781981. The next prime is 49782041. The reversal of 49782016 is 61028794.

49782016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 34885 + ... + 36283.

Almost surely, 2^49782016 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 49782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50078000).

49782016 is an abundant number, since it is smaller than the sum of its proper divisors (50373984).

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

49782016 is a wasteful number, since it uses less digits than its factorization.

49782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 49782016 is about 7055.6371788804. The cubic root of 49782016 is about 367.8669966740.

The spelling of 49782016 in words is "forty-nine million, seven hundred eighty-two thousand, sixteen".