Search a number
-
+
86268182 = 271113411051
BaseRepresentation
bin1010010010001…
…01100100010110
320000022212200212
411021011210112
5134041040212
612321005422
72065160510
oct511054426
9200285625
1086268182
1144772620
1224a83872
1314b46480
14b658bb0
157890e22
hex5245916

86268182 has 64 divisors (see below), whose sum is σ = 178149888. Its totient is φ = 30240000.

The previous prime is 86268181. The next prime is 86268187. The reversal of 86268182 is 28186268.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86268181) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81557 + ... + 82607.

It is an arithmetic number, because the mean of its divisors is an integer number (2783592).

Almost surely, 286268182 is an apocalyptic number.

86268182 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

86268182 is an abundant number, since it is smaller than the sum of its proper divisors (91881706).

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

86268182 is a wasteful number, since it uses less digits than its factorization.

86268182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125.

The product of its digits is 73728, while the sum is 41.

The square root of 86268182 is about 9288.0666448944. The cubic root of 86268182 is about 441.8588405591.

The spelling of 86268182 in words is "eighty-six million, two hundred sixty-eight thousand, one hundred eighty-two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 143 154 182 286 287 451 533 574 902 1001 1051 1066 2002 2102 3157 3731 5863 6314 7357 7462 11561 11726 13663 14714 23122 27326 41041 43091 80927 82082 86182 95641 150293 161854 191282 300586 301637 474001 560183 603274 948002 1052051 1120366 2104102 3318007 3921281 6162013 6636014 7842562 12324026 43134091 86268182