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2839985082 = 23211172311601
BaseRepresentation
bin1010100101000110…
…1011101110111010
321022220221012010200
42221101223232322
521304014010312
61145450423030
7130243321614
oct25121535672
97286835120
102839985082
111228108910
12673131a76
133634ba05c
141cd271db4
151194d70dc
hexa946bbba

2839985082 has 144 divisors (see below), whose sum is σ = 7365406464. Its totient is φ = 783360000.

The previous prime is 2839985059. The next prime is 2839985101. The reversal of 2839985082 is 2805899382.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1773082 + ... + 1774682.

It is an arithmetic number, because the mean of its divisors is an integer number (51148656).

Almost surely, 22839985082 is an apocalyptic number.

2839985082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2839985082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682703232).

2839985082 is an abundant number, since it is smaller than the sum of its proper divisors (4525421382).

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

2839985082 is a wasteful number, since it uses less digits than its factorization.

2839985082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 2839985082 is about 53291.5104120722. The cubic root of 2839985082 is about 1416.1372706384.

The spelling of 2839985082 in words is "two billion, eight hundred thirty-nine million, nine hundred eighty-five thousand, eighty-two".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 289 306 341 374 527 558 561 578 682 867 1023 1054 1122 1581 1601 1683 1734 2046 2601 3069 3162 3179 3202 3366 4743 4803 5202 5797 6138 6358 8959 9486 9537 9606 11594 14409 17391 17611 17918 19074 26877 27217 28611 28818 34782 35222 49631 52173 52833 53754 54434 57222 80631 81651 98549 99262 104346 105666 148893 158499 161262 163302 197098 244953 295647 297786 299387 316998 446679 462689 489906 545941 591294 598774 843727 886941 893358 898161 925378 1091882 1388067 1637823 1687454 1773882 1796322 2531181 2694483 2776134 3275646 4164201 4913469 5062362 5089579 5388966 7593543 8328402 9280997 9826938 10179158 14343359 15187086 15268737 18561994 27842991 28686718 30537474 43030077 45806211 55685982 83528973 86060154 91612422 129090231 157776949 167057946 258180462 315553898 473330847 946661694 1419992541 2839985082