49887936 has 84 divisors (see below), whose sum is σ = 163435792. Its totient is φ = 14252544.

The previous prime is 49887923. The next prime is 49887949. The reversal of 49887936 is 63978894.

49887936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49887923) and next prime (49887949).

It is a tau number, because it is divible by the number of its divisors (84).

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

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 11 ways as a sum of consecutive naturals, for example, 2155 + ... + 10218.

Almost surely, 2^49887936 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 49887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81717896).

49887936 is an abundant number, since it is smaller than the sum of its proper divisors (113547856).

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

49887936 is a wasteful number, since it uses less digits than its factorization.

49887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12385 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49887936 is about 7063.1392454064. The cubic root of 49887936 is about 368.1277124467.

The spelling of 49887936 in words is "forty-nine million, eight hundred eighty-seven thousand, nine hundred thirty-six".