49878864 has 90 divisors (see below), whose sum is σ = 162404970. Its totient is φ = 14249088.

The previous prime is 49878863. The next prime is 49878911. The reversal of 49878864 is 46887894.

49878864 is a `hidden beast` number, since 498 + 78 + 86 + 4 = 666.

49878864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39690000 + 10188864 = 6300^2 + 3192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49878864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49878863) 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 17 ways as a sum of consecutive naturals, for example, 3522 + ... + 10590.

Almost surely, 2^49878864 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 49878864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81202485).

49878864 is an abundant number, since it is smaller than the sum of its proper divisors (112526106).

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

49878864 is a wasteful number, since it uses less digits than its factorization.

49878864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7081 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 49878864 is about 7062.4970088489. The cubic root of 49878864 is about 368.1053967172.

The spelling of 49878864 in words is "forty-nine million, eight hundred seventy-eight thousand, eight hundred sixty-four".