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26832 = 2431343
BaseRepresentation
bin110100011010000
31100210210
412203100
51324312
6324120
7141141
oct64320
940723
1026832
1119183
1213640
13c2a0
149ac8
157e3c
hex68d0

26832 has 40 divisors (see below), whose sum is σ = 76384. Its totient is φ = 8064.

The previous prime is 26821. The next prime is 26833. The reversal of 26832 is 23862.

It can be divided in two parts, 268 and 32, that added together give a triangular number (300 = T24).

26832 is nontrivially palindromic in base 7.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 26799 and 26808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26833) by changing a digit.

26832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 645.

226832 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 26832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38192).

26832 is an abundant number, since it is smaller than the sum of its proper divisors (49552).

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

26832 is a wasteful number, since it uses less digits than its factorization.

26832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 26832 is about 163.8047618355. The cubic root of 26832 is about 29.9376482763.

The spelling of 26832 in words is "twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 13416 26832