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26852 = 2272137
BaseRepresentation
bin110100011100100
31100211112
412203210
51324402
6324152
7141200
oct64344
940745
1026852
11191a1
1213658
13c2b7
149b00
157e52
hex68e4

26852 has 18 divisors (see below), whose sum is σ = 55062. Its totient is φ = 11424.

The previous prime is 26849. The next prime is 26861. The reversal of 26852 is 25862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 3136 = 154^2 + 56^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (3059).

226852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27531).

26852 is an abundant number, since it is smaller than the sum of its proper divisors (28210).

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

26852 is a wasteful number, since it uses less digits than its factorization.

26852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 26852 is about 163.8657987501. The cubic root of 26852 is about 29.9450847236.

Subtracting from 26852 its reverse (25862), we obtain a triangular number (990 = T44).

It can be divided in two parts, 26 and 852, that added together give a palindrome (878).

The spelling of 26852 in words is "twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1918 3836 6713 13426 26852