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23826 = 2311192
BaseRepresentation
bin101110100010010
31012200110
411310102
51230301
6302150
7126315
oct56422
935613
1023826
11169a0
1211956
13aaca
14897c
1570d6
hex5d12

23826 has 24 divisors (see below), whose sum is σ = 54864. Its totient is φ = 6840.

The previous prime is 23819. The next prime is 23827. The reversal of 23826 is 62832.

It can be divided in two parts, 2 and 3826, that added together give a triangular number (3828 = T87).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23827) 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 11 ways as a sum of consecutive naturals, for example, 1245 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (2286).

223826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432).

23826 is an abundant number, since it is smaller than the sum of its proper divisors (31038).

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

23826 is a wasteful number, since it uses less digits than its factorization.

23826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

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

The square root of 23826 is about 154.3567296881. The cubic root of 23826 is about 28.7751135323.

The spelling of 23826 in words is "twenty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 1083 1254 2166 3971 7942 11913 23826