Search a number
-
+
82488861 = 3471319231
BaseRepresentation
bin1001110101010…
…10111000011101
312202012212110000
410322222320131
5132104120421
612104004513
72021100210
oct472527035
9182185400
1082488861
1142621114
1223760739
13141221a0
14ad53777
157396226
hex4eaae1d

82488861 has 120 divisors (see below), whose sum is σ = 165225984. Its totient is φ = 39890880.

The previous prime is 82488853. The next prime is 82488863. The reversal of 82488861 is 16888428.

It is a happy number.

It is not a de Polignac number, because 82488861 - 23 = 82488853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82488863) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2660916 + ... + 2660946.

Almost surely, 282488861 is an apocalyptic number.

82488861 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82488861 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

82488861 is a wasteful number, since it uses less digits than its factorization.

82488861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82488861 is about 9082.3378598244. The cubic root of 82488861 is about 435.3097912162.

The spelling of 82488861 in words is "eighty-two million, four hundred eighty-eight thousand, eight hundred sixty-one".

Divisors: 1 3 7 9 13 19 21 27 31 39 57 63 81 91 93 117 133 171 189 217 247 273 279 351 361 399 403 513 567 589 651 741 819 837 1053 1083 1197 1209 1539 1729 1767 1953 2223 2457 2511 2527 2821 3249 3591 3627 4123 4693 5187 5301 5859 6669 7371 7581 7657 8463 9747 10773 10881 11191 12369 14079 15561 15903 17577 20007 22743 22971 25389 29241 32643 32851 33573 37107 42237 46683 47709 53599 68229 68913 76167 78337 98553 100719 111321 126711 140049 145483 160797 204687 206739 228501 235011 295659 302157 333963 380133 436449 482391 620217 705033 886977 906471 1018381 1309347 1447173 2115099 2660931 3055143 3928041 4341519 6345297 9165429 11784123 27496287 82488861