248896 has 14 divisors (see below), whose sum is σ = 494030. Its totient is φ = 124416.

The previous prime is 248893. The next prime is 248903. The reversal of 248896 is 698842.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 18496 = 480^2 + 136^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (248891) by changing a digit.

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 as a sum of consecutive naturals, namely, 1881 + ... + 2008.

248896 is a Friedman number, since it can be written as 8*8+(6*2)^(9-4), using all its digits and the basic arithmetic operations.

2²⁴⁸⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

248896 is a deficient number, since it is larger than the sum of its proper divisors (245134).

248896 is an equidigital number, since it uses as much as digits as its factorization.

248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3891 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 248896 is about 498.8947784854. The cubic root of 248896 is about 62.9031854708.

The spelling of 248896 in words is "two hundred forty-eight thousand, eight hundred ninety-six".