Search a number
-
+
85365676 = 221129149449
BaseRepresentation
bin1010001011010…
…01001110101100
312221122000200201
411011221032230
5133323200201
612245403244
72054411344
oct505511654
9187560621
1085365676
1144206550
1224709524
13148bb746
14b4a1d24
157763801
hex51693ac

85365676 has 48 divisors (see below), whose sum is σ = 170100000. Its totient is φ = 37130240.

The previous prime is 85365641. The next prime is 85365701. The reversal of 85365676 is 67656358.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 189900 + ... + 190348.

It is an arithmetic number, because the mean of its divisors is an integer number (3543750).

Almost surely, 285365676 is an apocalyptic number.

85365676 is the 4939-th nonagonal number.

It is an amenable number.

85365676 is a deficient number, since it is larger than the sum of its proper divisors (84734324).

85365676 is a wasteful number, since it uses less digits than its factorization.

85365676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 85365676 is about 9239.3547393744. The cubic root of 85365676 is about 440.3125809167.

The spelling of 85365676 in words is "eighty-five million, three hundred sixty-five thousand, six hundred seventy-six".

Divisors: 1 2 4 11 22 29 44 58 116 149 298 319 449 596 638 898 1276 1639 1796 3278 4321 4939 6556 8642 9878 13021 17284 19756 26042 47531 52084 66901 95062 133802 143231 190124 267604 286462 572924 735911 1471822 1940129 2943644 3880258 7760516 21341419 42682838 85365676