13819248 has 50 divisors (see below), whose sum is σ = 40000664. Its totient is φ = 4605984.

The previous prime is 13819243. The next prime is 13819259. The reversal of 13819248 is 84291831.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13819243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4036 + ... + 6627.

Almost surely, 2^13819248 is an apocalyptic number.

13819248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13819248 is an abundant number, since it is smaller than the sum of its proper divisors (26181416).

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

13819248 is a wasteful number, since it uses less digits than its factorization.

13819248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683 (or 10668 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13819248 is about 3717.4249151799. The cubic root of 13819248 is about 239.9724968484.

The spelling of 13819248 in words is "thirteen million, eight hundred nineteen thousand, two hundred forty-eight".