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27864 = 233443
BaseRepresentation
bin110110011011000
31102020000
412303120
51342424
6333000
7144144
oct66330
942200
1027864
1119a31
1214160
13c8b5
14a224
1583c9
hex6cd8

27864 has 40 divisors (see below), whose sum is σ = 79860. Its totient is φ = 9072.

The previous prime is 27851. The next prime is 27883. The reversal of 27864 is 46872.

27864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (2688) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 6, base 8 and base 9.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 627 + ... + 669.

227864 is an apocalyptic number.

27864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39930).

27864 is an abundant number, since it is smaller than the sum of its proper divisors (51996).

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

27864 is a wasteful number, since it uses less digits than its factorization.

27864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 27864 is about 166.9251329189. The cubic root of 27864 is about 30.3166460833.

The spelling of 27864 in words is "twenty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 2322 3096 3483 4644 6966 9288 13932 27864