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86582034 = 2347112631
BaseRepresentation
bin1010010100100…
…10001100010010
320000220211020000
411022102030102
5134131111114
612331430430
72100635520
oct512221422
9200824200
1086582034
1144967400
1224bb5416
1314c26296
14b6db310
157903e09
hex5292312

86582034 has 120 divisors (see below), whose sum is σ = 244098624. Its totient is φ = 22453200.

The previous prime is 86582011. The next prime is 86582063. The reversal of 86582034 is 43028568.

It is a super-2 number, since 2×865820342 = 14992897223154312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86582034.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136899 + ... + 137529.

Almost surely, 286582034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86582034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122049312).

86582034 is an abundant number, since it is smaller than the sum of its proper divisors (157516590).

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

86582034 is a wasteful number, since it uses less digits than its factorization.

86582034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86582034 is about 9304.9467489073. The cubic root of 86582034 is about 442.3940338045.

The spelling of 86582034 in words is "eighty-six million, five hundred eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 378 462 567 594 631 693 726 847 891 1089 1134 1262 1386 1694 1782 1893 2079 2178 2541 3267 3786 4158 4417 5082 5679 6237 6534 6941 7623 8834 9801 11358 12474 13251 13882 15246 17037 19602 20823 22869 26502 34074 39753 41646 45738 48587 51111 62469 68607 76351 79506 97174 102222 119259 124938 137214 145761 152702 187407 229053 238518 291522 357777 374814 437283 458106 534457 562221 687159 715554 874566 1068914 1124442 1311849 1374318 1603371 2061477 2623698 3206742 3935547 4122954 4810113 6184431 7871094 9620226 12368862 14430339 28860678 43291017 86582034