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27804 = 2237331
BaseRepresentation
bin110110010011100
31102010210
412302130
51342204
6332420
7144030
oct66234
942123
1027804
1119987
1214110
13c86a
14a1c0
158389
hex6c9c

27804 has 24 divisors (see below), whose sum is σ = 74368. Its totient is φ = 7920.

The previous prime is 27803. The next prime is 27809. The reversal of 27804 is 40872.

It is a happy number.

27804 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 249.

227804 is an apocalyptic number.

It is an amenable number.

27804 is an abundant number, since it is smaller than the sum of its proper divisors (46564).

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 (37184).

27804 is a wasteful number, since it uses less digits than its factorization.

27804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 27804 is about 166.7453147768. The cubic root of 27804 is about 30.2948700047.

The spelling of 27804 in words is "twenty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 331 662 993 1324 1986 2317 3972 4634 6951 9268 13902 27804