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3682818282 = 23111323431433
BaseRepresentation
bin1101101110000011…
…0101100011101010
3100111122212112221010
43123200311203222
530020300141112
61405235324350
7160156303353
oct33340654352
910448775833
103682818282
11161a944980
128694506b6
13468cb9220
1426d18ad2a
151684c063c
hexdb8358ea

3682818282 has 128 divisors (see below), whose sum is σ = 9071419392. Its totient is φ = 980812800.

The previous prime is 3682818281. The next prime is 3682818299. The reversal of 3682818282 is 2828182863.

It is not an unprimeable number, because it can be changed into a prime (3682818281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8505138 + ... + 8505570.

It is an arithmetic number, because the mean of its divisors is an integer number (70870464).

Almost surely, 23682818282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682818282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535709696).

3682818282 is an abundant number, since it is smaller than the sum of its proper divisors (5388601110).

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

3682818282 is a wasteful number, since it uses less digits than its factorization.

3682818282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its digits is 589824, while the sum is 48.

The square root of 3682818282 is about 60686.2281081960. The cubic root of 3682818282 is about 1544.2825478801.

The spelling of 3682818282 in words is "three billion, six hundred eighty-two million, eight hundred eighteen thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 431 433 506 598 759 858 862 866 897 1293 1299 1518 1794 2586 2598 3289 4741 4763 5603 5629 6578 9482 9526 9867 9913 9959 11206 11258 14223 14289 16809 16887 19734 19826 19918 28446 28578 29739 29877 33618 33774 59478 59754 61633 61919 109043 109549 123266 123838 128869 129467 184899 185757 186623 218086 219098 257738 258934 327129 328647 369798 371514 373246 386607 388401 559869 654258 657294 773214 776802 1119738 1417559 1424137 2052853 2426099 2835118 2848274 4105706 4252677 4272411 4292329 4852198 6158559 7278297 8505354 8544822 8584658 12317118 12876987 14556594 25753974 26687089 47215619 53374178 55800277 80061267 94431238 111600554 141646857 160122534 167400831 283293714 334801662 613803047 1227606094 1841409141 3682818282