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86258916 = 22324158441
BaseRepresentation
bin1010010010000…
…11010011100100
320000022101222200
411021003103210
5134040241131
612320454500
72065121502
oct511032344
9200271880
1086258916
1144766667
1224a7a430
1314b421a3
14b655672
15788d2e6
hex52434e4

86258916 has 36 divisors (see below), whose sum is σ = 223365324. Its totient is φ = 28051200.

The previous prime is 86258881. The next prime is 86258923. The reversal of 86258916 is 61985268.

86258916 is a `hidden beast` number, since 8 + 62 + 589 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 43956900 = 6504^2 + 6630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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, 27745 + ... + 30696.

Almost surely, 286258916 is an apocalyptic number.

It is an amenable number.

86258916 is an abundant number, since it is smaller than the sum of its proper divisors (137106408).

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

86258916 is a wasteful number, since it uses less digits than its factorization.

86258916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58492 (or 58487 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 86258916 is about 9287.5678194025. The cubic root of 86258916 is about 441.8430200850.

The spelling of 86258916 in words is "eighty-six million, two hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 58441 116882 175323 233764 350646 525969 701292 1051938 2103876 2396081 4792162 7188243 9584324 14376486 21564729 28752972 43129458 86258916