50256 has 30 divisors (see below), whose sum is σ = 141050. Its totient is φ = 16704.

The previous prime is 50231. The next prime is 50261. The reversal of 50256 is 65205.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 3600 = 216^2 + 60^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

50256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 31 + ... + 318.

2⁵⁰²⁵⁶ 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 50256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70525).

50256 is an abundant number, since it is smaller than the sum of its proper divisors (90794).

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

50256 is a wasteful number, since it uses less digits than its factorization.

50256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 50256 is about 224.1785003072. The cubic root of 50256 is about 36.9030821230.

The spelling of 50256 in words is "fifty thousand, two hundred fifty-six".