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82718214 = 23472792
BaseRepresentation
bin1001110111000…
…10111000000110
312202122112001120
410323202320012
5132133440324
612112534410
72023043655
oct473427006
9182575046
1082718214
1142768467
1223851406
13141a26b7
14adb319c
1573de179
hex4ee2e06

82718214 has 36 divisors (see below), whose sum is σ = 171197964. Its totient is φ = 26644488.

The previous prime is 82718183. The next prime is 82718219. The reversal of 82718214 is 41281728.

It is a happy number.

It is a super-3 number, since 3×827182143 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82718219) 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 17 ways as a sum of consecutive naturals, for example, 1047027 + ... + 1047105.

It is an arithmetic number, because the mean of its divisors is an integer number (4755499).

Almost surely, 282718214 is an apocalyptic number.

82718214 is an abundant number, since it is smaller than the sum of its proper divisors (88479750).

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

82718214 is an equidigital number, since it uses as much as digits as its factorization.

82718214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 131 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 82718214 is about 9094.9554149539. The cubic root of 82718214 is about 435.7128646989.

The spelling of 82718214 in words is "eighty-two million, seven hundred eighteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 47 79 94 141 158 237 282 474 2209 3713 4418 6241 6627 7426 11139 12482 13254 18723 22278 37446 174511 293327 349022 523533 586654 879981 1047066 1759962 13786369 27572738 41359107 82718214