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27352 = 2313263
BaseRepresentation
bin110101011011000
31101112001
412223120
51333402
6330344
7142513
oct65330
941461
1027352
1119606
12139b4
13c5b0
149d7a
158187
hex6ad8

27352 has 16 divisors (see below), whose sum is σ = 55440. Its totient is φ = 12576.

The previous prime is 27337. The next prime is 27361. The reversal of 27352 is 25372.

It is a happy number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

27352 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, 28 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

227352 is an apocalyptic number.

It is an amenable number.

27352 is an abundant number, since it is smaller than the sum of its proper divisors (28088).

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 (27720).

27352 is a wasteful number, since it uses less digits than its factorization.

27352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 27352 is about 165.3844007154. The cubic root of 27352 is about 30.1298078907.

Adding to 27352 its product of digits (420), we get a palindrome (27772).

It can be divided in two parts, 273 and 52, that multiplied together give a triangular number (14196 = T168).

The spelling of 27352 in words is "twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 263 526 1052 2104 3419 6838 13676 27352