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86585471 = 7178532
BaseRepresentation
bin1010010100100…
…11000001111111
320000220222221022
411022103001333
5134131213341
612331454355
72100651530
oct512230177
9200828838
1086585471
1144969a45
1224bb73bb
1314c27a0b
14b6dc687
157904e4b
hex529307f

86585471 has 12 divisors (see below), whose sum is σ = 104898672. Its totient is φ = 69768576.

The previous prime is 86585441. The next prime is 86585483. The reversal of 86585471 is 17458568.

It is a happy number.

It is not a de Polignac number, because 86585471 - 26 = 86585407 is a prime.

It is a super-3 number, since 3×865854713 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86585431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101081 + ... + 101933.

It is an arithmetic number, because the mean of its divisors is an integer number (8741556).

Almost surely, 286585471 is an apocalyptic number.

86585471 is a deficient number, since it is larger than the sum of its proper divisors (18313201).

86585471 is an frugal number, since it uses more digits than its factorization.

86585471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 877 counting only the distinct ones).

The product of its digits is 268800, while the sum is 44.

The square root of 86585471 is about 9305.1314337843. The cubic root of 86585471 is about 442.3998875523.

The spelling of 86585471 in words is "eighty-six million, five hundred eighty-five thousand, four hundred seventy-one".

Divisors: 1 7 17 119 853 5971 14501 101507 727609 5093263 12369353 86585471