Search a number
-
+
85643568 = 243466083
BaseRepresentation
bin1010001101011…
…01000100110000
312222011010220000
411012231010300
5133411043233
612255350000
72056646463
oct506550460
9188133800
1085643568
114438630a
1224822300
131498808a
14b5352da
1577bad13
hex51ad130

85643568 has 50 divisors (see below), whose sum is σ = 247881084. Its totient is φ = 28547424.

The previous prime is 85643539. The next prime is 85643611. The reversal of 85643568 is 86534658.

85643568 is a `hidden beast` number, since 85 + 6 + 4 + 3 + 568 = 666.

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 9 ways as a sum of consecutive naturals, for example, 31746 + ... + 34337.

Almost surely, 285643568 is an apocalyptic number.

It is an amenable number.

85643568 is an abundant number, since it is smaller than the sum of its proper divisors (162237516).

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

85643568 is a wasteful number, since it uses less digits than its factorization.

85643568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66103 (or 66088 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 85643568 is about 9254.3810165780. The cubic root of 85643568 is about 440.7898485041.

The spelling of 85643568 in words is "eighty-five million, six hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 66083 132166 198249 264332 396498 528664 594747 792996 1057328 1189494 1585992 1784241 2378988 3171984 3568482 4757976 5352723 7136964 9515952 10705446 14273928 21410892 28547856 42821784 85643568