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86046282 = 2327173139
BaseRepresentation
bin1010010000011…
…11011001001010
312222220121022100
411020033121022
5134011440112
612312134230
72063244540
oct510173112
9188817270
1086046282
1144630933
1224997376
1314a9947a
14b5dbd90
15784a2dc
hex520f64a

86046282 has 96 divisors (see below), whose sum is σ = 228009600. Its totient is φ = 22972032.

The previous prime is 86046281. The next prime is 86046283. The reversal of 86046282 is 28264068.

It is an interprime number because it is at equal distance from previous prime (86046281) and next prime (86046283).

It is not an unprimeable number, because it can be changed into a prime (86046281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618969 + ... + 619107.

It is an arithmetic number, because the mean of its divisors is an integer number (2375100).

Almost surely, 286046282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86046282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114004800).

86046282 is an abundant number, since it is smaller than the sum of its proper divisors (141963318).

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

86046282 is a wasteful number, since it uses less digits than its factorization.

86046282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86046282 is about 9276.1135180635. The cubic root of 86046282 is about 441.4796638185.

The spelling of 86046282 in words is "eighty-six million, forty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 139 153 238 278 289 306 357 417 578 714 834 867 973 1071 1251 1734 1946 2023 2142 2363 2502 2601 2919 4046 4726 4913 5202 5838 6069 7089 8757 9826 12138 14178 14739 16541 17514 18207 21267 29478 33082 34391 36414 40171 42534 44217 49623 68782 80342 88434 99246 103173 120513 148869 206346 241026 281197 297738 309519 361539 562394 619038 682907 723078 843591 1365814 1687182 2048721 2530773 4097442 4780349 5061546 6146163 9560698 12292326 14341047 28682094 43023141 86046282