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26412 = 2233171
BaseRepresentation
bin110011100101100
31100020020
412130230
51321122
6322140
7140001
oct63454
940206
1026412
1118931
1213350
13c039
1498a8
157c5c
hex672c

26412 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 8400.

The previous prime is 26407. The next prime is 26417. The reversal of 26412 is 21462.

Adding to 26412 its reverse (21462), we get a palindrome (47874).

Subtracting from 26412 its reverse (21462), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 264 and 12, that added together give a triangular number (276 = T23).

26412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (26407) and next prime (26417).

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

It is a junction number, because it is equal to n+sod(n) for n = 26391 and 26400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26412.

It is not an unprimeable number, because it can be changed into a prime (26417) by changing a digit.

26412 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, 337 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

226412 is an apocalyptic number.

It is an amenable number.

26412 is an abundant number, since it is smaller than the sum of its proper divisors (38100).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

26412 is a wasteful number, since it uses less digits than its factorization.

26412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 26412 is about 162.5176913447. The cubic root of 26412 is about 29.7806219077.

The spelling of 26412 in words is "twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 71 93 124 142 186 213 284 372 426 852 2201 4402 6603 8804 13206 26412