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26796 = 22371129
BaseRepresentation
bin110100010101100
31100202110
412202230
51324141
6324020
7141060
oct64254
940673
1026796
1119150
1213610
13c273
149aa0
157e16
hex68ac

26796 has 48 divisors (see below), whose sum is σ = 80640. Its totient is φ = 6720.

The previous prime is 26783. The next prime is 26801. The reversal of 26796 is 69762.

It can be divided in two parts, 267 and 96, that added together give a palindrome (363).

26796 = T29 + T30 + ... + T56.

26796 is a nontrivial binomial coefficient, being equal to C(232, 2).

Its product of digits (4536) is a multiple of the sum of its prime factors (54).

It is a plaindrome in base 16.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 910 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

226796 is an apocalyptic number.

26796 is the 231-st triangular number and also the 116-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

26796 is an abundant number, since it is smaller than the sum of its proper divisors (53844).

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

26796 is a wasteful number, since it uses less digits than its factorization.

26796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 52 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 26796 is about 163.6948380371. The cubic root of 26796 is about 29.9242533536.

The spelling of 26796 in words is "twenty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 26796