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285804 = 223217467
BaseRepresentation
bin1000101110001101100
3112112001100
41011301230
533121204
610043100
72300151
oct1056154
9475040
10285804
11185802
12119490
13a011c
1476228
1559a39
hex45c6c

285804 has 36 divisors (see below), whose sum is σ = 766584. Its totient is φ = 89472.

The previous prime is 285781. The next prime is 285823. The reversal of 285804 is 408582.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2285804 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 285804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383292).

285804 is an abundant number, since it is smaller than the sum of its proper divisors (480780).

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

285804 is a wasteful number, since it uses less digits than its factorization.

285804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 285804 is about 534.6063972681. The cubic root of 285804 is about 65.8702685794.

It can be divided in two parts, 285 and 804, that added together give a square (1089 = 332).

The spelling of 285804 in words is "two hundred eighty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 467 612 934 1401 1868 2802 4203 5604 7939 8406 15878 16812 23817 31756 47634 71451 95268 142902 285804