48256 has 32 divisors (see below), whose sum is σ = 107100. Its totient is φ = 21504.

The previous prime is 48247. The next prime is 48259. The reversal of 48256 is 65284.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 1600 = 216^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 48256.

It is not an unprimeable number, because it can be changed into a prime (48259) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1650 + ... + 1678.

2⁴⁸²⁵⁶ 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 48256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53550).

48256 is an abundant number, since it is smaller than the sum of its proper divisors (58844).

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

48256 is a wasteful number, since it uses less digits than its factorization.

48256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 48256 is about 219.6724834839. The cubic root of 48256 is about 36.4069060680.

Adding to 48256 its product of digits (1920), we get a square (50176 = 224²).

The spelling of 48256 in words is "forty-eight thousand, two hundred fifty-six".