Search a number
-
+
85617336 = 2337701727
BaseRepresentation
bin1010001101001…
…10101010111000
312222002210220110
411012212222320
5133404223321
612255024320
72056510140
oct506465270
9188083813
1085617336
1144368632
122480b0a0
131497915c
14b529920
1577b3176
hex51a6ab8

85617336 has 64 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 24393600.

The previous prime is 85617331. The next prime is 85617349. The reversal of 85617336 is 63371658.

Its product of digits (90720) is a multiple of the sum of its prime divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 85617294 and 85617303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85617331) by changing a digit.

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, 117405 + ... + 118131.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 285617336 is an apocalyptic number.

It is an amenable number.

85617336 is an abundant number, since it is smaller than the sum of its proper divisors (159689544).

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

85617336 is a wasteful number, since it uses less digits than its factorization.

85617336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 85617336 is about 9252.9636333447. The cubic root of 85617336 is about 440.7448403371.

The spelling of 85617336 in words is "eighty-five million, six hundred seventeen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 701 727 1402 1454 2103 2181 2804 2908 4206 4362 4907 5089 5608 5816 8412 8724 9814 10178 14721 15267 16824 17448 19628 20356 29442 30534 39256 40712 58884 61068 117768 122136 509627 1019254 1528881 2038508 3057762 3567389 4077016 6115524 7134778 10702167 12231048 14269556 21404334 28539112 42808668 85617336