51296 has 24 divisors (see below), whose sum is σ = 115920. Its totient is φ = 21888.

The previous prime is 51287. The next prime is 51307. The reversal of 51296 is 69215.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

51296 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 3 ways as a sum of consecutive naturals, for example, 110 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

2⁵¹²⁹⁶ is an apocalyptic number.

51296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960).

51296 is an abundant number, since it is smaller than the sum of its proper divisors (64624).

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

51296 is a wasteful number, since it uses less digits than its factorization.

51296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 51296 is about 226.4862026703. The cubic root of 51296 is about 37.1559041232.

The spelling of 51296 in words is "fifty-one thousand, two hundred ninety-six".