13829850 has 72 divisors (see below), whose sum is σ = 37754652. Its totient is φ = 3628800.

The previous prime is 13829843. The next prime is 13829867. The reversal of 13829850 is 5892831.

13829850 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 can be written as a sum of positive squares in 6 ways, for example, as 1361889 + 12467961 = 1167^2 + 3531^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32640 + ... + 33060.

Almost surely, 2^13829850 is an apocalyptic number.

13829850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18877326).

13829850 is an abundant number, since it is smaller than the sum of its proper divisors (23924802).

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

13829850 is a wasteful number, since it uses less digits than its factorization.

13829850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13829850 is about 3718.8506288906. The cubic root of 13829850 is about 240.0338493924.

The spelling of 13829850 in words is "thirteen million, eight hundred twenty-nine thousand, eight hundred fifty".