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85861216 = 257419349
BaseRepresentation
bin1010001111000…
…10001101100000
312222120012110001
411013202031200
5133440024331
612304145344
72061544150
oct507421540
9188505401
1085861216
1144514891
1224908254
1314a3316c
14b590760
157810561
hex51e2360

85861216 has 48 divisors (see below), whose sum is σ = 197920800. Its totient is φ = 35896320.

The previous prime is 85861189. The next prime is 85861291. The reversal of 85861216 is 61216858.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4510 + ... + 13858.

It is an arithmetic number, because the mean of its divisors is an integer number (4123350).

Almost surely, 285861216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960400).

85861216 is an abundant number, since it is smaller than the sum of its proper divisors (112059584).

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

85861216 is a wasteful number, since it uses less digits than its factorization.

85861216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9399 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 85861216 is about 9266.1327424120. The cubic root of 85861216 is about 441.1629291558.

The spelling of 85861216 in words is "eighty-five million, eight hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 9349 18698 37396 65443 74792 130886 149584 261772 299168 383309 523544 766618 1047088 1533236 2094176 2683163 3066472 5366326 6132944 10732652 12265888 21465304 42930608 85861216