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285131392 = 2772132269
BaseRepresentation
bin10000111111101…
…100001010000000
3201212112011201221
4100333230022000
51040443201032
644143204424
710031401600
oct2077541200
9655464657
10285131392
11136a49487
127b5a6714
13470c3200
1429c22c00
151a073597
hex10fec280

285131392 has 144 divisors (see below), whose sum is σ = 718174350. Its totient is φ = 112379904.

The previous prime is 285131389. The next prime is 285131401. The reversal of 285131392 is 293131582.

It can be written as a sum of positive squares in 3 ways, for example, as 71503936 + 213627456 = 8456^2 + 14616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059834 + ... + 1060102.

Almost surely, 2285131392 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 285131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359087175).

285131392 is an abundant number, since it is smaller than the sum of its proper divisors (433042958).

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

285131392 is a wasteful number, since it uses less digits than its factorization.

285131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 285131392 is about 16885.8340629061. The cubic root of 285131392 is about 658.1855520164.

It can be divided in two parts, 2851 and 31392, that added together give a palindrome (34243).

The spelling of 285131392 in words is "two hundred eighty-five million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 269 338 364 392 416 448 538 637 676 728 784 832 896 1076 1183 1274 1352 1456 1568 1664 1883 2152 2366 2548 2704 2912 3136 3497 3766 4304 4732 5096 5408 5824 6272 6994 7532 8281 8608 9464 10192 10816 11648 13181 13988 15064 16562 17216 18928 20384 21632 24479 26362 27976 30128 33124 34432 37856 40768 45461 48958 52724 55952 60256 66248 75712 81536 90922 97916 105448 111904 120512 132496 151424 171353 181844 195832 210896 223808 241024 264992 318227 342706 363688 391664 421792 447616 529984 636454 685412 727376 783328 843584 1059968 1272908 1370824 1454752 1566656 1687168 2227589 2545816 2741648 2909504 3133312 4455178 5091632 5483296 5819008 8910356 10183264 10966592 17820712 20366528 21933184 35641424 40733056 71282848 142565696 285131392