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6832285404 = 22372971031163
BaseRepresentation
bin1100101110011110…
…00110011011011100
3122122011011001121120
412113033012123130
5102443031113104
63045543330540
7331211316300
oct62717063334
918564131546
106832285404
11299671316a
1213a8150a50
1384b643c39
1448b57dd00
1529ec3acd9
hex1973c66dc

6832285404 has 144 divisors (see below), whose sum is σ = 18934126848. Its totient is φ = 1911555072.

The previous prime is 6832285399. The next prime is 6832285417. The reversal of 6832285404 is 4045822386.

It is a super-2 number, since 2×68322854042 = 93360247683422886432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874127 + ... + 5875289.

It is an arithmetic number, because the mean of its divisors is an integer number (131486992).

Almost surely, 26832285404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832285404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467063424).

6832285404 is an abundant number, since it is smaller than the sum of its proper divisors (12101841444).

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

6832285404 is a wasteful number, since it uses less digits than its factorization.

6832285404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 6832285404 is about 82657.6397195081. The cubic root of 6832285404 is about 1897.5300688714.

The spelling of 6832285404 in words is "six billion, eight hundred thirty-two million, two hundred eighty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 103 147 194 196 206 291 294 309 388 412 582 588 618 679 721 1163 1164 1236 1358 1442 2037 2163 2326 2716 2884 3489 4074 4326 4652 4753 5047 6978 8141 8148 8652 9506 9991 10094 13956 14259 15141 16282 19012 19982 20188 24423 28518 29973 30282 32564 39964 48846 56987 57036 59946 60564 69937 97692 112811 113974 119789 119892 139874 170961 209811 225622 227948 239578 279748 338433 341922 359367 419622 451244 479156 489559 676866 683844 718734 789677 838523 839244 979118 1353732 1437468 1468677 1579354 1677046 1958236 2369031 2515569 2937354 3158708 3354092 4738062 5031138 5527739 5869661 5874708 9476124 10062276 11055478 11619533 11739322 16583217 17608983 22110956 23239066 23478644 33166434 34858599 35217966 46478132 66332868 69717198 70435932 81336731 139434396 162673462 244010193 325346924 488020386 569357117 976040772 1138714234 1708071351 2277428468 3416142702 6832285404