52496 has 20 divisors (see below), whose sum is σ = 108252. Its totient is φ = 24576.

The previous prime is 52489. The next prime is 52501. The reversal of 52496 is 69425.

52496 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 25600 = 164^2 + 160^2 .

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

52496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176 + ... + 368.

2⁵²⁴⁹⁶ 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 52496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54126).

52496 is an abundant number, since it is smaller than the sum of its proper divisors (55756).

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

52496 is a wasteful number, since it uses less digits than its factorization.

52496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 52496 is about 229.1200558659. The cubic root of 52496 is about 37.4434109440.

The spelling of 52496 in words is "fifty-two thousand, four hundred ninety-six".