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82181970 = 23251370241
BaseRepresentation
bin1001110010111…
…11111101010010
312201122021110200
410321133331102
5132014310340
612053240030
72015351403
oct471377522
9181567420
1082181970
1142431592
1223633016
13140455b0
14acb39aa
157335330
hex4e5ff52

82181970 has 48 divisors (see below), whose sum is σ = 230112792. Its totient is φ = 20229120.

The previous prime is 82181947. The next prime is 82182007. The reversal of 82181970 is 7918128.

It can be written as a sum of positive squares in 4 ways, for example, as 75846681 + 6335289 = 8709^2 + 2517^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33951 + ... + 36290.

Almost surely, 282181970 is an apocalyptic number.

82181970 is an abundant number, since it is smaller than the sum of its proper divisors (147930822).

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

82181970 is a wasteful number, since it uses less digits than its factorization.

82181970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70267 (or 70264 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 82181970 is about 9065.4271824333. The cubic root of 82181970 is about 434.7692791551.

The spelling of 82181970 in words is "eighty-two million, one hundred eighty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 70241 140482 210723 351205 421446 632169 702410 913133 1053615 1264338 1826266 2107230 2739399 3160845 4565665 5478798 6321690 8218197 9131330 13696995 16436394 27393990 41090985 82181970