26244 has 27 divisors (see below), whose sum is σ = 68887. Its totient is φ = 8748.

The previous prime is 26237. The next prime is 26249. The reversal of 26244 is 44262.

Adding to 26244 its sum of digits (18), we get a palindrome (26262).

Multipling 26244 by its product of digits (384), we get a 9-th power (10077696 = 6^{9}).

It can be divided in two parts, 2624 and 4, that added together give a triangular number (2628 = T_{72}).

26244 = T_{161} + T_{162}.

The square root of 26244 is 162.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (27).

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=9.

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

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

It is a d-powerful number, because it can be written as **2**^{5} + **6**^{5} + **2**^{11} + **4** + **4**^{7} .

It is a Duffinian number.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (26249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8747 + 8748 + 8749.

26244 is a Friedman number, since it can be written as (6^4/(4*2))^2, using all its digits and the basic arithmetic operations.

2^{26244} is an apocalyptic number.

26244 is the 162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26244

26244 is an abundant number, since it is smaller than the sum of its proper divisors (42643).

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

26244 is an frugal number, since it uses more digits than its factorization.

26244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 5 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The cubic root of 26244 is about 29.7173452401.

The spelling of 26244 in words is "twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244

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