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285868512 = 253237139193
BaseRepresentation
bin10001000010100…
…000000111100000
3201220220121212200
4101002200013200
51041140243022
644211053200
710040561616
oct2102400740
9656817780
10285868512
11137402276
127b8a1200
13472c0887
1429d756b6
151a16bbac
hex110a01e0

285868512 has 144 divisors (see below), whose sum is σ = 845273520. Its totient is φ = 91570176.

The previous prime is 285868493. The next prime is 285868543. The reversal of 285868512 is 215868582.

285868512 is a `hidden beast` number, since 28 + 58 + 68 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1481088 + ... + 1481280.

It is an arithmetic number, because the mean of its divisors is an integer number (5869955).

Almost surely, 2285868512 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 285868512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422636760).

285868512 is an abundant number, since it is smaller than the sum of its proper divisors (559405008).

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

285868512 is a wasteful number, since it uses less digits than its factorization.

285868512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 285868512 is about 16907.6465541482. The cubic root of 285868512 is about 658.7522431023.

The spelling of 285868512 in words is "two hundred eighty-five million, eight hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 139 144 148 193 222 278 288 296 333 386 417 444 556 579 592 666 772 834 888 1112 1158 1184 1251 1332 1544 1668 1737 1776 2224 2316 2502 2664 3088 3336 3474 3552 4448 4632 5004 5143 5328 6176 6672 6948 7141 9264 10008 10286 10656 13344 13896 14282 15429 18528 20016 20572 21423 26827 27792 28564 30858 40032 41144 42846 46287 53654 55584 57128 61716 64269 80481 82288 85692 92574 107308 114256 123432 128538 160962 164576 171384 185148 214616 228512 241443 246864 257076 321924 342768 370296 429232 482886 493728 514152 643848 685536 740592 858464 965772 992599 1028304 1287696 1481184 1931544 1985198 2056608 2575392 2977797 3863088 3970396 5955594 7726176 7940792 8933391 11911188 15881584 17866782 23822376 31763168 35733564 47644752 71467128 95289504 142934256 285868512