13983248 has 40 divisors (see below), whose sum is σ = 29027160. Its totient is φ = 6502400.

The previous prime is 13983247. The next prime is 13983251. The reversal of 13983248 is 84238931.

It can be written as a sum of positive squares in 4 ways, for example, as 9935104 + 4048144 = 3152^2 + 2012^2 .

It is not an unprimeable number, because it can be changed into a prime (13983247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27218 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (725679).

Almost surely, 2^13983248 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 13983248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14513580).

13983248 is an abundant number, since it is smaller than the sum of its proper divisors (15043912).

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

13983248 is a wasteful number, since it uses less digits than its factorization.

13983248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 13983248 is about 3739.4181365555. The cubic root of 13983248 is about 240.9180578040.

The spelling of 13983248 in words is "thirteen million, nine hundred eighty-three thousand, two hundred forty-eight".