49984896 has 256 divisors, whose sum is σ = 164505600. Its totient is φ = 13271040.

The previous prime is 49984873. The next prime is 49984897. The reversal of 49984896 is 69848994.

49984896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49984897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1612401 + ... + 1612431.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^49984896 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 49984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

49984896 is an abundant number, since it is smaller than the sum of its proper divisors (114520704).

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

49984896 is a wasteful number, since it uses less digits than its factorization.

49984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 49984896 is about 7069.9997171146. Note that the first 3 decimals coincide. The cubic root of 49984896 is about 368.3660503869.

The spelling of 49984896 in words is "forty-nine million, nine hundred eighty-four thousand, eight hundred ninety-six".