Search a number
-
+
82123056 = 24321733547
BaseRepresentation
bin1001110010100…
…01100100110000
312201112021122200
410321101210300
5132010414211
612052103200
72015014551
oct471214460
9181467580
1082123056
11423a12a4
1223604b00
1314024832
14ac9a328
157322b56
hex4e51930

82123056 has 60 divisors (see below), whose sum is σ = 243357192. Its totient is φ = 25763328.

The previous prime is 82123051. The next prime is 82123057. The reversal of 82123056 is 65032128.

It is not an unprimeable number, because it can be changed into a prime (82123051) 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 11 ways as a sum of consecutive naturals, for example, 14326 + ... + 19221.

Almost surely, 282123056 is an apocalyptic number.

It is an amenable number.

82123056 is an abundant number, since it is smaller than the sum of its proper divisors (161234136).

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

82123056 is a wasteful number, since it uses less digits than its factorization.

82123056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33578 (or 33569 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82123056 is about 9062.1772218380. The cubic root of 82123056 is about 434.6653629295.

The spelling of 82123056 in words is "eighty-two million, one hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 33547 67094 100641 134188 201282 268376 301923 402564 536752 570299 603846 805128 1140598 1207692 1610256 1710897 2281196 2415384 3421794 4562392 4830768 5132691 6843588 9124784 10265382 13687176 20530764 27374352 41061528 82123056