52096 has 32 divisors (see below), whose sum is σ = 116280. Its totient is φ = 23040.

The previous prime is 52081. The next prime is 52103. The reversal of 52096 is 69025.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

52096 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, 1390 + ... + 1426.

2⁵²⁰⁹⁶ 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 52096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58140).

52096 is an abundant number, since it is smaller than the sum of its proper divisors (64184).

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

52096 is a wasteful number, since it uses less digits than its factorization.

52096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 52096 is about 228.2454818830. The cubic root of 52096 is about 37.3480667471.

Adding to 52096 its reverse (69025), we get a palindrome (121121).

It can be divided in two parts, 520 and 96, that added together give a palindrome (616).

The spelling of 52096 in words is "fifty-two thousand, ninety-six".