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85958361 = 333183643
BaseRepresentation
bin1010001111110…
…01111011011001
312222202010201000
411013321323121
5134001131421
612310215213
72062430316
oct507717331
9188663630
1085958361
1144580875
1224954509
1314a68448
14b5b7d0d
15782e226
hex51f9ed9

85958361 has 8 divisors (see below), whose sum is σ = 127345760. Its totient is φ = 57305556.

The previous prime is 85958359. The next prime is 85958377. The reversal of 85958361 is 16385958.

85958361 is a `hidden beast` number, since 8 + 5 + 9 + 583 + 61 = 666.

It is not a de Polignac number, because 85958361 - 21 = 85958359 is a prime.

It is a super-5 number, since 5×859583615 (a number of 41 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85958311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1591795 + ... + 1591848.

It is an arithmetic number, because the mean of its divisors is an integer number (15918220).

Almost surely, 285958361 is an apocalyptic number.

It is an amenable number.

85958361 is a deficient number, since it is larger than the sum of its proper divisors (41387399).

85958361 is a wasteful number, since it uses less digits than its factorization.

85958361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183652 (or 3183646 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 85958361 is about 9271.3731992623. The cubic root of 85958361 is about 441.3292464677.

The spelling of 85958361 in words is "eighty-five million, nine hundred fifty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 27 3183643 9550929 28652787 85958361