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86084271 = 32713891181
BaseRepresentation
bin1010010000110…
…00101010101111
312222222112102100
411020120222233
5134014144041
612313030143
72063463360
oct510305257
9188875370
1086084271
1144657429
12249b5353
1314ab0850
14b60bb67
1578566b6
hex5218aaf

86084271 has 48 divisors (see below), whose sum is σ = 154889280. Its totient is φ = 44858880.

The previous prime is 86084263. The next prime is 86084287. The reversal of 86084271 is 17248068.

86084271 is a `hidden beast` number, since 8 + 608 + 42 + 7 + 1 = 666.

It is not a de Polignac number, because 86084271 - 23 = 86084263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86084221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72301 + ... + 73481.

It is an arithmetic number, because the mean of its divisors is an integer number (3226860).

Almost surely, 286084271 is an apocalyptic number.

86084271 is a deficient number, since it is larger than the sum of its proper divisors (68805009).

86084271 is a wasteful number, since it uses less digits than its factorization.

86084271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86084271 is about 9278.1609707959. The cubic root of 86084271 is about 441.5446246086.

The spelling of 86084271 in words is "eighty-six million, eighty-four thousand, two hundred seventy-one".

Divisors: 1 3 7 9 13 21 39 63 89 91 117 267 273 623 801 819 1157 1181 1869 3471 3543 5607 8099 8267 10413 10629 15353 24297 24801 46059 72891 74403 105109 107471 138177 315327 322413 735763 945981 967239 1366417 2207289 4099251 6621867 9564919 12297753 28694757 86084271