13782444 has 48 divisors (see below), whose sum is σ = 36677088. Its totient is φ = 3990528.

The previous prime is 13782409. The next prime is 13782481. The reversal of 13782444 is 44428731.

13782444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13782444² = 379911525226272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 5250.

It is an arithmetic number, because the mean of its divisors is an integer number (764106).

Almost surely, 2^13782444 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 13782444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338544).

13782444 is an abundant number, since it is smaller than the sum of its proper divisors (22894644).

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

13782444 is a wasteful number, since it uses less digits than its factorization.

13782444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5232 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 13782444 is about 3712.4714140314. The cubic root of 13782444 is about 239.7592725124.

The spelling of 13782444 in words is "thirteen million, seven hundred eighty-two thousand, four hundred forty-four".