49876288 has 112 divisors (see below), whose sum is σ = 128016000. Its totient is φ = 18708480.

The previous prime is 49876261. The next prime is 49876289. The reversal of 49876288 is 88267894.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49876289) 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 15 ways as a sum of consecutive naturals, for example, 142738 + ... + 143086.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 2^49876288 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 49876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008000).

49876288 is an abundant number, since it is smaller than the sum of its proper divisors (78139712).

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

49876288 is a wasteful number, since it uses less digits than its factorization.

49876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The square root of 49876288 is about 7062.3146347356. The cubic root of 49876288 is about 368.0990596587.

The spelling of 49876288 in words is "forty-nine million, eight hundred seventy-six thousand, two hundred eighty-eight".