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85205862 = 23272292953
BaseRepresentation
bin1010001010000…
…10001101100110
312221022220110200
411011002031212
5133303041422
612242131330
72053144410
oct505021546
9187286420
1085205862
1144107475
1224650b46
1314863a91
14b45d9b0
1577312ac
hex5142366

85205862 has 48 divisors (see below), whose sum is σ = 211979040. Its totient is φ = 24230016.

The previous prime is 85205851. The next prime is 85205863. The reversal of 85205862 is 26850258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85205863) 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 23 ways as a sum of consecutive naturals, for example, 27378 + ... + 30330.

It is an arithmetic number, because the mean of its divisors is an integer number (4416230).

Almost surely, 285205862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85205862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105989520).

85205862 is an abundant number, since it is smaller than the sum of its proper divisors (126773178).

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

85205862 is a wasteful number, since it uses less digits than its factorization.

85205862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85205862 is about 9230.7021401408. The cubic root of 85205862 is about 440.0376379649.

The spelling of 85205862 in words is "eighty-five million, two hundred five thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 2953 3206 4122 4809 5906 8859 9618 14427 17718 20671 26577 28854 41342 53154 62013 124026 186039 372078 676237 1352474 2028711 4057422 4733659 6086133 9467318 12172266 14200977 28401954 42602931 85205862