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86003918 = 272111317192
BaseRepresentation
bin1010010000001…
…01000011001110
312222211110012022
411020011003032
5134004111133
612311210142
72063010200
oct510050316
9188743168
1086003918
1144602020
1224976952
1314a830c0
14b5ca770
15783c998
hex52050ce

86003918 has 144 divisors (see below), whose sum is σ = 197016624. Its totient is φ = 27578880.

The previous prime is 86003909. The next prime is 86003941. The reversal of 86003918 is 81930068.

It is a super-2 number, since 2×860039182 = 14793347822701448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4526513 + ... + 4526531.

It is an arithmetic number, because the mean of its divisors is an integer number (1368171).

Almost surely, 286003918 is an apocalyptic number.

86003918 is an abundant number, since it is smaller than the sum of its proper divisors (111012706).

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

86003918 is a wasteful number, since it uses less digits than its factorization.

86003918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 86003918 is about 9273.8297374925. The cubic root of 86003918 is about 441.4071992709.

The spelling of 86003918 in words is "eighty-six million, three thousand, nine hundred eighteen".

Divisors: 1 2 7 11 13 14 17 19 22 26 34 38 49 77 91 98 119 133 143 154 182 187 209 221 238 247 266 286 323 361 374 418 442 494 539 637 646 722 833 931 1001 1078 1274 1309 1463 1547 1666 1729 1862 2002 2261 2431 2527 2618 2717 2926 3094 3458 3553 3971 4199 4522 4693 4862 5054 5434 6137 7007 7106 7942 8398 9163 9386 10241 10829 12103 12274 14014 15827 17017 17689 18326 19019 20482 21658 24206 24871 27797 29393 31654 32851 34034 35378 38038 42959 46189 49742 51623 55594 58786 65702 67507 79781 85918 92378 103246 119119 133133 135014 159562 174097 194579 205751 229957 238238 266266 300713 323323 348194 361361 389158 411502 459914 472549 558467 601426 646646 722722 877591 945098 1116934 1755182 2263261 2529527 3307843 3909269 4526522 5059054 6143137 6615686 7818538 12286274 43001959 86003918