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86382531 = 341937241
BaseRepresentation
bin1010010011000…
…01011111000011
320000112200120000
411021201133003
5134103220111
612323251043
72066145054
oct511413703
9200480500
1086382531
1144840524
1224b19a83
1314b86531
14b68872b
1578b4c56
hex52617c3

86382531 has 60 divisors (see below), whose sum is σ = 143007480. Its totient is φ = 51788160.

The previous prime is 86382529. The next prime is 86382551. The reversal of 86382531 is 13528368.

It is not a de Polignac number, because 86382531 - 21 = 86382529 is a prime.

It is a super-2 number, since 2×863825312 = 14923883323931922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86382521) 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 59 ways as a sum of consecutive naturals, for example, 2106871 + ... + 2106911.

It is an arithmetic number, because the mean of its divisors is an integer number (2383458).

Almost surely, 286382531 is an apocalyptic number.

86382531 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86382531 is a deficient number, since it is larger than the sum of its proper divisors (56624949).

86382531 is a wasteful number, since it uses less digits than its factorization.

86382531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 86382531 is about 9294.2203008106. The cubic root of 86382531 is about 442.0539832238.

The spelling of 86382531 in words is "eighty-six million, three hundred eighty-two thousand, five hundred thirty-one".

Divisors: 1 3 9 19 27 37 41 57 81 111 123 171 333 369 513 703 779 999 1107 1369 1517 1539 2109 2337 2997 3321 4107 4551 6327 7011 12321 13653 18981 21033 26011 28823 36963 40959 56129 56943 63099 78033 86469 110889 122877 168387 234099 259407 505161 702297 778221 1066451 1515483 2106891 2334663 3199353 4546449 9598059 28794177 86382531