49855872 has 192 divisors, whose sum is σ = 154652400. Its totient is φ = 14192640.

The previous prime is 49855853. The next prime is 49855889. The reversal of 49855872 is 27855894.

49855872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (806400) is a multiple of the sum of its prime factors (105).

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 23 ways as a sum of consecutive naturals, for example, 1347438 + ... + 1347474.

Almost surely, 2^49855872 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 49855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77326200).

49855872 is an abundant number, since it is smaller than the sum of its proper divisors (104796528).

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

49855872 is a wasteful number, since it uses less digits than its factorization.

49855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 49855872 is about 7060.8690683230. The cubic root of 49855872 is about 368.0488277995.

The spelling of 49855872 in words is "forty-nine million, eight hundred fifty-five thousand, eight hundred seventy-two".