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285156 = 2232892
BaseRepresentation
bin1000101100111100100
3112111011100
41011213210
533111111
610040100
72265234
oct1054744
9474140
10285156
11185273
12119030
139ca41
1475cc4
1559756
hex459e4

285156 has 27 divisors (see below), whose sum is σ = 729001. Its totient is φ = 93984.

The previous prime is 285151. The next prime is 285161. The reversal of 285156 is 651582.

The square root of 285156 is 534.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (285151) and next prime (285161).

It can be written as a sum of positive squares in only one way, i.e., 54756 + 230400 = 234^2 + 480^2 .

It is a super-3 number, since 3×2851563 = 69561477333229248, which contains 333 as substring.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285156.

It is not an unprimeable number, because it can be changed into a prime (285151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3160 + ... + 3248.

285156 is a Friedman number, since it can be written as (6*(85+5-1))^2, using all its digits and the basic arithmetic operations.

2285156 is an apocalyptic number.

285156 is the 534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285156

285156 is an abundant number, since it is smaller than the sum of its proper divisors (443845).

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

285156 is a wasteful number, since it uses less digits than its factorization.

285156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The cubic root of 285156 is about 65.8204486169.

It can be divided in two parts, 285 and 156, that added together give a square (441 = 212).

The spelling of 285156 in words is "two hundred eighty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 7921 15842 23763 31684 47526 71289 95052 142578 285156