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26172 = 2232727
BaseRepresentation
bin110011000111100
31022220100
412120330
51314142
6321100
7136206
oct63074
938810
1026172
1118733
1213190
13bbb3
149776
157b4c
hex663c

26172 has 18 divisors (see below), whose sum is σ = 66248. Its totient is φ = 8712.

The previous prime is 26171. The next prime is 26177. The reversal of 26172 is 27162.

Subtracting 26172 from its reverse (27162), we obtain a triangular number (990 = T44).

It can be divided in two parts, 261 and 72, that added together give a palindrome (333).

It is a happy number.

26172 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6, base 13 and base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 328 + ... + 399.

226172 is an apocalyptic number.

It is an amenable number.

26172 is an abundant number, since it is smaller than the sum of its proper divisors (40076).

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

26172 is a wasteful number, since it uses less digits than its factorization.

26172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 732 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 26172 is about 161.7776251526. Note that the first 3 decimals coincide. The cubic root of 26172 is about 29.6901439935.

The spelling of 26172 in words is "twenty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 727 1454 2181 2908 4362 6543 8724 13086 26172