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1082585322 = 2327213263359
BaseRepresentation
bin100000010000110…
…1111000011101010
32210110002000212200
41000201233003222
54204120212242
6255231321030
735553552300
oct10041570352
92713060780
101082585322
11506100415
12262680176
13143394240
14a3ac8270
156509604c
hex4086f0ea

1082585322 has 144 divisors (see below), whose sum is σ = 2957834880. Its totient is φ = 283639104.

The previous prime is 1082585299. The next prime is 1082585323. The reversal of 1082585322 is 2235852801.

It is not an unprimeable number, because it can be changed into a prime (1082585323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3015379 + ... + 3015737.

It is an arithmetic number, because the mean of its divisors is an integer number (20540520).

Almost surely, 21082585322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082585322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440).

1082585322 is an abundant number, since it is smaller than the sum of its proper divisors (1875249558).

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

1082585322 is a wasteful number, since it uses less digits than its factorization.

1082585322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1082585322 is about 32902.6643602004. The cubic root of 1082585322 is about 1026.8035894059.

The spelling of 1082585322 in words is "one billion, eighty-two million, five hundred eighty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 263 273 294 359 441 526 546 637 718 789 819 882 1077 1274 1578 1638 1841 1911 2154 2367 2513 3231 3419 3682 3822 4667 4734 5026 5523 5733 6462 6838 7539 9334 10257 11046 11466 12887 14001 15078 16569 17591 20514 22617 23933 25774 28002 30771 32669 33138 35182 38661 42003 45234 47866 52773 61542 65338 71799 77322 84006 94417 98007 105546 115983 143598 158319 167531 188834 196014 215397 228683 231966 283251 294021 316638 335062 430794 457366 502593 566502 588042 660919 686049 849753 1005186 1227421 1321838 1372098 1507779 1699506 1982757 2058147 2454842 3015558 3682263 3965514 4116294 4626433 5948271 7364526 8591947 9252866 11046789 11896542 13879299 17183894 22093578 25775841 27758598 41637897 51551682 60143629 77327523 83275794 120287258 154655046 180430887 360861774 541292661 1082585322