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26912 = 25292
BaseRepresentation
bin110100100100000
31100220202
412210200
51330122
6324332
7141314
oct64440
940822
1026912
1119246
12136a8
13c332
149b44
157e92
hex6920

26912 has 18 divisors (see below), whose sum is σ = 54873. Its totient is φ = 12992.

The previous prime is 26903. The next prime is 26921. The reversal of 26912 is 21962.

Subtracting from 26912 its reverse (21962), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 2 and 6912, that multiplied together give a cube (13824 = 243).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (26903) and next prime (26921).

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 16 = 164^2 + 4^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=116.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 13.

It is an unprimeable number.

26912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 914 + ... + 942.

226912 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 26912

26912 is an abundant number, since it is smaller than the sum of its proper divisors (27961).

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

26912 is an equidigital number, since it uses as much as digits as its factorization.

26912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 26912 is about 164.0487732353. The cubic root of 26912 is about 29.9673719339.

The spelling of 26912 in words is "twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 6728 13456 26912