Search a number
26826 = 2317263

26826 has 16 divisors (see below), whose sum is σ = 57024. Its totient is φ = 8384.

The previous prime is 26821. The next prime is 26833. The reversal of 26826 is 62862.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26796 and 26805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

226826 is an apocalyptic number.

26826 is an abundant number, since it is smaller than the sum of its proper divisors (30198).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512).

26826 is a wasteful number, since it uses less digits than its factorization.

26826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285.

The product of its digits is 1152, while the sum is 24.

The square root of 26826 is about 163.7864463257. The cubic root of 26826 is about 29.9354166216.

The spelling of 26826 in words is "twenty-six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 17 34 51 102 263 526 789 1578 4471 8942 13413 26826