Search a number
-
+
85267182 = 237111314197
BaseRepresentation
bin1010001010100…
…01001011101110
312221110000120210
411011101023232
5133312022212
612243323250
72053521240
oct505211356
9187400523
1085267182
1144149550
1224680526
1314885970
14b478090
15774453c
hex51512ee

85267182 has 64 divisors (see below), whose sum is σ = 228985344. Its totient is φ = 20442240.

The previous prime is 85267177. The next prime is 85267199. The reversal of 85267182 is 28176258.

It is a super-2 number, since 2×852671822 = 14540984652442248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 85267182.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1093 + ... + 13104.

It is an arithmetic number, because the mean of its divisors is an integer number (3577896).

Almost surely, 285267182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85267182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114492672).

85267182 is an abundant number, since it is smaller than the sum of its proper divisors (143718162).

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

85267182 is a wasteful number, since it uses less digits than its factorization.

85267182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233.

The product of its digits is 53760, while the sum is 39.

The square root of 85267182 is about 9234.0230668978. The cubic root of 85267182 is about 440.1431731043.

The spelling of 85267182 in words is "eighty-five million, two hundred sixty-seven thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 14197 28394 42591 85182 99379 156167 184561 198758 298137 312334 369122 468501 553683 596274 937002 1093169 1107366 1291927 2030171 2186338 2583854 3279507 3875781 4060342 6090513 6559014 7751562 12181026 14211197 28422394 42633591 85267182