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26152 = 237467

26152 has 16 divisors (see below), whose sum is σ = 56160. Its totient is φ = 11184.

The previous prime is 26141. The next prime is 26153. The reversal of 26152 is 25162.

It is a happy number.

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26153) by changing a digit.

26152 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 3 ways as a sum of consecutive naturals, for example, 178 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

226152 is an apocalyptic number.

It is an amenable number.

26152 is an abundant number, since it is smaller than the sum of its proper divisors (30008).

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 (28080).

26152 is a wasteful number, since it uses less digits than its factorization.

26152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 26152 is about 161.7158000939. The cubic root of 26152 is about 29.6825792398.

Subtracting from 26152 its reverse (25162), we obtain a triangular number (990 = T44).

It can be divided in two parts, 261 and 52, that added together give a palindrome (313).

The spelling of 26152 in words is "twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 467 934 1868 3269 3736 6538 13076 26152