Search a number
-
+
26264 = 237267

26264 has 24 divisors (see below), whose sum is σ = 58140. Its totient is φ = 11088.

The previous prime is 26263. The next prime is 26267. The reversal of 26264 is 46262.

26264 = T77 + T78 + ... + T84.

It is a nialpdrome in base 14.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359 + ... + 425.

226264 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 26264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29070).

26264 is an abundant number, since it is smaller than the sum of its proper divisors (31876).

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

26264 is a wasteful number, since it uses less digits than its factorization.

26264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 26264 is about 162.0617166391. The cubic root of 26264 is about 29.7248923110.

Subtracting from 26264 its sum of digits (20), we obtain a square (26244 = 1622).

The spelling of 26264 in words is "twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 469 536 938 1876 3283 3752 6566 13132 26264