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204828 = 223132101
BaseRepresentation
bin110010000000011100
3101101222020
4302000130
523023303
64220140
71512111
oct620034
9341866
10204828
1112a988
129a650
1372300
1454908
1540a53
hex3201c

204828 has 36 divisors (see below), whose sum is σ = 522648. Its totient is φ = 62400.

The previous prime is 204821. The next prime is 204857. The reversal of 204828 is 828402.

204828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204798 and 204807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204821) by changing a digit.

204828 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 11 ways as a sum of consecutive naturals, for example, 1978 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (14518).

2204828 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 204828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261324).

204828 is an abundant number, since it is smaller than the sum of its proper divisors (317820).

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

204828 is a wasteful number, since it uses less digits than its factorization.

204828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 204828 is about 452.5792748238. The cubic root of 204828 is about 58.9471901288.

The spelling of 204828 in words is "two hundred four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 169 202 303 338 404 507 606 676 1014 1212 1313 2028 2626 3939 5252 7878 15756 17069 34138 51207 68276 102414 204828