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82873098 = 233711191049
BaseRepresentation
bin1001111000010…
…00101100001010
312202221101112000
410330020230022
5132203414343
612120131430
72024260350
oct474105412
9182841460
1082873098
1142863870
1223906b76
1314228049
14b0137d0
15741eed3
hex4f08b0a

82873098 has 128 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 20373120.

The previous prime is 82873069. The next prime is 82873099. The reversal of 82873098 is 89037828.

It is not an unprimeable number, because it can be changed into a prime (82873099) 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 63 ways as a sum of consecutive naturals, for example, 78478 + ... + 79526.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 282873098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82873098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

82873098 is an abundant number, since it is smaller than the sum of its proper divisors (159046902).

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

82873098 is a wasteful number, since it uses less digits than its factorization.

82873098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 82873098 is about 9103.4662629133. The cubic root of 82873098 is about 435.9846423062.

It can be divided in two parts, 828730 and 98, that added together give a palindrome (828828).

The spelling of 82873098 in words is "eighty-two million, eight hundred seventy-three thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 99 114 126 133 154 171 189 198 209 231 266 297 342 378 399 418 462 513 594 627 693 798 1026 1049 1197 1254 1386 1463 1881 2079 2098 2394 2926 3147 3591 3762 4158 4389 5643 6294 7182 7343 8778 9441 11286 11539 13167 14686 18882 19931 22029 23078 26334 28323 34617 39501 39862 44058 56646 59793 66087 69234 79002 80773 103851 119586 132174 139517 161546 179379 198261 207702 219241 242319 279034 311553 358758 396522 418551 438482 484638 538137 623106 657723 726957 837102 1076274 1255653 1315446 1453914 1534687 1973169 2180871 2511306 3069374 3766959 3946338 4361742 4604061 5919507 7533918 9208122 11839014 13812183 27624366 41436549 82873098