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86516089 = 1121734133
BaseRepresentation
bin1010010100000…
…10000101111001
320000210110202121
411022002011321
5134122003324
612330201241
72100242332
oct512020571
9200713677
1086516089
1144921900
1224b83221
1314c0226a
14b6c1289
1578de5e4
hex5282179

86516089 has 12 divisors (see below), whose sum is σ = 95669028. Its totient is φ = 78177440.

The previous prime is 86516069. The next prime is 86516093. The reversal of 86516089 is 98061568.

It can be written as a sum of positive squares in 2 ways, for example, as 72114064 + 14402025 = 8492^2 + 3795^2 .

It is not a de Polignac number, because 86516089 - 25 = 86516057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86516039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18867 + ... + 22999.

It is an arithmetic number, because the mean of its divisors is an integer number (7972419).

Almost surely, 286516089 is an apocalyptic number.

It is an amenable number.

86516089 is a deficient number, since it is larger than the sum of its proper divisors (9152939).

86516089 is a wasteful number, since it uses less digits than its factorization.

86516089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 86516089 is about 9301.4025286513. The cubic root of 86516089 is about 442.2816891566.

The spelling of 86516089 in words is "eighty-six million, five hundred sixteen thousand, eighty-nine".

Divisors: 1 11 121 173 1903 4133 20933 45463 500093 715009 7865099 86516089