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85299258 = 231171109167
BaseRepresentation
bin1010001010110…
…01000000111010
312221111122120210
411011121000322
5133314034013
612244131550
72054013612
oct505310072
9187448523
1085299258
1144170660
1224696bb6
1314897445
14b485a42
15774dcc3
hex515903a

85299258 has 64 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 25099200.

The previous prime is 85299239. The next prime is 85299271.

85299258 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 510691 + ... + 510857.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 285299258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85299258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

85299258 is an abundant number, since it is smaller than the sum of its proper divisors (106301382).

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

85299258 is a wasteful number, since it uses less digits than its factorization.

85299258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

The product of its digits is 518400, while the sum is 48.

The square root of 85299258 is about 9235.7597413532. The cubic root of 85299258 is about 440.1983575342.

The spelling of 85299258 in words is "eighty-five million, two hundred ninety-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 71 109 142 167 213 218 327 334 426 501 654 781 1002 1199 1562 1837 2343 2398 3597 3674 4686 5511 7194 7739 11022 11857 15478 18203 23217 23714 35571 36406 46434 54609 71142 85129 109218 130427 170258 200233 255387 260854 391281 400466 510774 600699 782562 1201398 1292413 2584826 3877239 7754478 14216543 28433086 42649629 85299258