49868864 has 56 divisors (see below), whose sum is σ = 103799640. Its totient is φ = 23740416.

The previous prime is 49868857. The next prime is 49868869. The reversal of 49868864 is 46886894.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 47886400 = 1408^2 + 6920^2 .

It is not an unprimeable number, because it can be changed into a prime (49868869) 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 7 ways as a sum of consecutive naturals, for example, 179894 + ... + 180170.

It is an arithmetic number, because the mean of its divisors is an integer number (1853565).

Almost surely, 2^49868864 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 49868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51899820).

49868864 is an abundant number, since it is smaller than the sum of its proper divisors (53930776).

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

49868864 is a wasteful number, since it uses less digits than its factorization.

49868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 53.

The square root of 49868864 is about 7061.7890084595. The cubic root of 49868864 is about 368.0807951144.

It can be divided in two parts, 4986 and 8864, that multiplied together give a square (44195904 = 6648²).

The spelling of 49868864 in words is "forty-nine million, eight hundred sixty-eight thousand, eight hundred sixty-four".