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26418 = 2371737
BaseRepresentation
bin110011100110010
31100020110
412130302
51321133
6322150
7140010
oct63462
940213
1026418
1118937
1213356
13c042
1498b0
157c63
hex6732

26418 has 32 divisors (see below), whose sum is σ = 65664. Its totient is φ = 6912.

The previous prime is 26417. The next prime is 26423. The reversal of 26418 is 81462.

Added to its reverse (81462) it gives a triangular number (107880 = T464).

26418 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 26394 and 26403.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

226418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832).

26418 is an abundant number, since it is smaller than the sum of its proper divisors (39246).

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

26418 is a wasteful number, since it uses less digits than its factorization.

26418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its digits is 384, while the sum is 21.

The square root of 26418 is about 162.5361498252. The cubic root of 26418 is about 29.7828768196.

Adding to 26418 its reverse (81462), we get a triangular number (107880 = T464).

It can be divided in two parts, 264 and 18, that added together give a palindrome (282).

The spelling of 26418 in words is "twenty-six thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1887 3774 4403 8806 13209 26418