53248 has 26 divisors (see below), whose sum is σ = 114674. Its totient is φ = 24576.

The previous prime is 53239. The next prime is 53267. The reversal of 53248 is 84235.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 16384 = 192^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (26).

Its product of digits (960) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4090 + ... + 4102.

53248 is a Friedman number, since it can be written as 8^4*(5+2^3), using all its digits and the basic arithmetic operations.

2⁵³²⁴⁸ 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 53248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57337).

53248 is an abundant number, since it is smaller than the sum of its proper divisors (61426).

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

53248 is an equidigital number, since it uses as much as digits as its factorization.

53248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 15 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 53248 is about 230.7552816297. The cubic root of 53248 is about 37.6213550035.

The spelling of 53248 in words is "fifty-three thousand, two hundred forty-eight".