50268 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 16240.

The previous prime is 50263. The next prime is 50273. The reversal of 50268 is 86205.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50263) and next prime (50273).

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50261) by changing a digit.

50268 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁰²⁶⁸ is an apocalyptic number.

It is an amenable number.

50268 is an abundant number, since it is smaller than the sum of its proper divisors (70692).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

50268 is a wasteful number, since it uses less digits than its factorization.

50268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 50268 is about 224.2052630961. The cubic root of 50268 is about 36.9060190973.

Subtracting 50268 from its reverse (86205), we obtain a cube (35937 = 33³).

The spelling of 50268 in words is "fifty thousand, two hundred sixty-eight".