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85418586 = 232111512857
BaseRepresentation
bin1010001011101…
…10001001011010
312221201201021100
411011312021122
5133331343321
612250452230
72055021531
oct505661132
9187651240
1085418586
1144242280
1224734076
1314909856
14b4b7318
157774326
hex517625a

85418586 has 48 divisors (see below), whose sum is σ = 203306688. Its totient is φ = 25704000.

The previous prime is 85418569. The next prime is 85418611. The reversal of 85418586 is 68581458.

85418586 is a `hidden beast` number, since 8 + 54 + 18 + 586 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28470 + ... + 31326.

It is an arithmetic number, because the mean of its divisors is an integer number (4235556).

Almost surely, 285418586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85418586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101653344).

85418586 is an abundant number, since it is smaller than the sum of its proper divisors (117888102).

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

85418586 is a wasteful number, since it uses less digits than its factorization.

85418586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3024 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 85418586 is about 9242.2175910330. The cubic root of 85418586 is about 440.4035313167.

The spelling of 85418586 in words is "eighty-five million, four hundred eighteen thousand, five hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 2718 2857 3322 4983 5714 8571 9966 14949 17142 25713 29898 31427 51426 62854 94281 188562 282843 431407 565686 862814 1294221 2588442 3882663 4745477 7765326 9490954 14236431 28472862 42709293 85418586