248288 has 12 divisors (see below), whose sum is σ = 488880. Its totient is φ = 124128.

The previous prime is 248267. The next prime is 248291. The reversal of 248288 is 882842.

248288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 7759 = 248288 / (2 + 4 + 8 + 2 + 8 + 8).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248288.

It is an unprimeable number.

248288 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 as a sum of consecutive naturals, namely, 3848 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (40740).

2²⁴⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

248288 is a deficient number, since it is larger than the sum of its proper divisors (240592).

248288 is an equidigital number, since it uses as much as digits as its factorization.

248288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7761 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 248288 is about 498.2850589773. The cubic root of 248288 is about 62.8519240059.

The spelling of 248288 in words is "two hundred forty-eight thousand, two hundred eighty-eight".