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282686085 = 335111943233
BaseRepresentation
bin10000110110010…
…111001010000101
3201200220221102000
4100312113022011
51034331423320
644014535513
710001535453
oct2066271205
9650827360
10282686085
11135629270
127a807599
1346748196
14297879d3
1519c3dc90
hex10d97285

282686085 has 128 divisors (see below), whose sum is σ = 593049600. Its totient is φ = 126282240.

The previous prime is 282686071. The next prime is 282686087. The reversal of 282686085 is 580686282.

It is not a de Polignac number, because 282686085 - 211 = 282684037 is a prime.

It is a super-2 number, since 2×2826860852 = 159822845305254450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 282686085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282686087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1213129 + ... + 1213361.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 2282686085 is an apocalyptic number.

It is an amenable number.

282686085 is an abundant number, since it is smaller than the sum of its proper divisors (310363515).

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

282686085 is a wasteful number, since it uses less digits than its factorization.

282686085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 282686085 is about 16813.2710975586. The cubic root of 282686085 is about 656.2985988499.

The spelling of 282686085 in words is "two hundred eighty-two million, six hundred eighty-six thousand, eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 43 45 55 57 95 99 129 135 165 171 209 215 233 285 297 387 473 495 513 627 645 699 817 855 1045 1161 1165 1419 1485 1881 1935 2097 2365 2451 2563 2565 3135 3495 4085 4257 4427 5643 5805 6291 7095 7353 7689 8987 9405 10019 10485 12255 12771 12815 13281 21285 22059 22135 23067 26961 28215 30057 31455 36765 38445 39843 44935 48697 50095 63855 66405 69201 80883 90171 110209 110295 115335 119529 134805 146091 150285 190361 199215 242649 243485 270513 330627 346005 404415 438273 450855 551045 571083 597645 730455 951805 991881 1213245 1314819 1352565 1653135 1713249 2093971 2191365 2855415 2975643 4959405 5139747 6281913 6574095 8566245 10469855 14878215 18845739 25698735 31409565 56537217 94228695 282686085