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BaseRepresentation
bin110011010011100
31100000220
412122130
51320033
6321340
7136404
oct63234
940026
1026268
1118810
1213250
13bc58
149804
157bb3
hex669c

26268 has 24 divisors (see below), whose sum is σ = 67200. Its totient is φ = 7920.

The previous prime is 26267. The next prime is 26293. The reversal of 26268 is 86262.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

226268 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 26268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

26268 is an abundant number, since it is smaller than the sum of its proper divisors (40932).

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

26268 is a wasteful number, since it uses less digits than its factorization.

26268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

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

The square root of 26268 is about 162.0740571467. The cubic root of 26268 is about 29.7264012654.

Subtracting from 26268 its sum of digits (24), we obtain a square (26244 = 1622).

The spelling of 26268 in words is "twenty-six thousand, two hundred sixty-eight".