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85352586 = 23112359953
BaseRepresentation
bin1010001011001…
…10000010001010
312221121100201220
411011212002022
5133322240321
612245222510
72054325234
oct505460212
9187540656
1085352586
11441a7730
1224701a36
13148b57b7
14b49b254
15775e9c6
hex516608a

85352586 has 64 divisors (see below), whose sum is σ = 197821440. Its totient is φ = 24295040.

The previous prime is 85352569. The next prime is 85352593. The reversal of 85352586 is 68525358.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89086 + ... + 90038.

It is an arithmetic number, because the mean of its divisors is an integer number (3090960).

Almost surely, 285352586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85352586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98910720).

85352586 is an abundant number, since it is smaller than the sum of its proper divisors (112468854).

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

85352586 is a wasteful number, since it uses less digits than its factorization.

85352586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051.

The product of its digits is 288000, while the sum is 42.

The square root of 85352586 is about 9238.6463294143. The cubic root of 85352586 is about 440.2900738757.

The spelling of 85352586 in words is "eighty-five million, three hundred fifty-two thousand, five hundred eighty-six".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 118 138 177 253 354 506 649 759 953 1298 1357 1518 1906 1947 2714 2859 3894 4071 5718 8142 10483 14927 20966 21919 29854 31449 43838 44781 56227 62898 65757 89562 112454 131514 168681 241109 337362 482218 618497 723327 1236994 1293221 1446654 1855491 2586442 3710982 3879663 7759326 14225431 28450862 42676293 85352586