Search a number
-
+
26896 = 24412
BaseRepresentation
bin110100100010000
31100220011
412210100
51330041
6324304
7141262
oct64420
940804
1026896
1119231
1213694
13c31c
149b32
157e81
hex6910

26896 has 15 divisors (see below), whose sum is σ = 53413. Its totient is φ = 13120.

The previous prime is 26893. The next prime is 26903. The reversal of 26896 is 69862.

Subtracting from 26896 its product of digits (5184), we obtain a palindrome (21712).

Multipling 26896 by its product of digits (5184), we get a square (139428864 = 118082).

26896 = T163 + T164.

The square root of 26896 is 164.

It is a perfect power (a square), and thus also a powerful number.

26896 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in only one way, i.e., 1296 + 25600 = 36^2 + 160^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (26891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 636 + ... + 676.

26896 is a Friedman number, since it can be written as (96+68)^2, using all its digits and the basic arithmetic operations.

226896 is an apocalyptic number.

26896 is the 164-th square number.

It is an amenable number.

26896 is a deficient number, since it is larger than the sum of its proper divisors (26517).

26896 is an equidigital number, since it uses as much as digits as its factorization.

26896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 43 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The cubic root of 26896 is about 29.9614319195.

The spelling of 26896 in words is "twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 13448 26896