52448 has 24 divisors (see below), whose sum is σ = 113400. Its totient is φ = 23680.

The previous prime is 52433. The next prime is 52453. The reversal of 52448 is 84425.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

52448 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 3 ways as a sum of consecutive naturals, for example, 278 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁵²⁴⁴⁸ 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 52448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700).

52448 is an abundant number, since it is smaller than the sum of its proper divisors (60952).

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

52448 is a wasteful number, since it uses less digits than its factorization.

52448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 52448 is about 229.0152833328. The cubic root of 52448 is about 37.4319952692.

Subtracting from 52448 its sum of digits (23), we obtain a palindrome (52425).

It can be divided in two parts, 524 and 48, that multiplied together give a palindrome (25152).

The spelling of 52448 in words is "fifty-two thousand, four hundred forty-eight".