13909248 has 54 divisors (see below), whose sum is σ = 40110434. Its totient is φ = 4635648.

The previous prime is 13909243. The next prime is 13909261. The reversal of 13909248 is 84290931.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 3873024 = 3168^2 + 1968^2 .

It is a super-3 number, since 3×13909248³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13909243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 715 + ... + 5322.

Almost surely, 2^13909248 is an apocalyptic number.

13909248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055217).

13909248 is an abundant number, since it is smaller than the sum of its proper divisors (26201186).

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

13909248 is an equidigital number, since it uses as much as digits as its factorization.

13909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13909248 is about 3729.5104236347. The cubic root of 13909248 is about 240.4923227192.

The spelling of 13909248 in words is "thirteen million, nine hundred nine thousand, two hundred forty-eight".