49856 has 28 divisors (see below), whose sum is σ = 106680. Its totient is φ = 23040.

The previous prime is 49853. The next prime is 49871. The reversal of 49856 is 65894.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (8640) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (49853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1196 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2⁴⁹⁸⁵⁶ 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 49856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340).

49856 is an abundant number, since it is smaller than the sum of its proper divisors (56824).

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

49856 is a wasteful number, since it uses less digits than its factorization.

49856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 49856 is about 223.2845717912. The cubic root of 49856 is about 36.8049142776.

The spelling of 49856 in words is "forty-nine thousand, eight hundred fifty-six".