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6828290392 = 2371123132507
BaseRepresentation
bin1100101101111111…
…10111000101011000
3122121212122002111011
412112333313011120
5102441020243032
63045321543304
7331132340110
oct62677670530
918555562434
106828290392
112994434700
1213a6944b34
1384a875721
1448ac20040
1529e6ec247
hex196ff7158

6828290392 has 96 divisors (see below), whose sum is σ = 16602485760. Its totient is φ = 2574475200.

The previous prime is 6828290387. The next prime is 6828290473. The reversal of 6828290392 is 2930928286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193803 + ... + 226309.

It is an arithmetic number, because the mean of its divisors is an integer number (172942560).

Almost surely, 26828290392 is an apocalyptic number.

6828290392 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828290392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301242880).

6828290392 is an abundant number, since it is smaller than the sum of its proper divisors (9774195368).

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

6828290392 is a wasteful number, since it uses less digits than its factorization.

6828290392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32573 (or 32558 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 6828290392 is about 82633.4701679652. The cubic root of 6828290392 is about 1897.1601519763.

The spelling of 6828290392 in words is "six billion, eight hundred twenty-eight million, two hundred ninety thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 154 217 242 248 308 341 434 484 616 682 847 868 968 1364 1694 1736 2387 2728 3388 3751 4774 6776 7502 9548 15004 19096 26257 30008 32507 52514 65014 105028 130028 210056 227549 260056 357577 455098 715154 910196 1007717 1430308 1820392 2015434 2503039 2860616 3933347 4030868 5006078 7054019 7866694 8061736 10012156 11084887 14108038 15733388 20024312 22169774 27533429 28216076 31466776 44339548 55066858 56432152 77594209 88679096 110133716 121933757 155188418 220267432 243867514 310376836 487735028 620753672 853536299 975470056 1707072598 3414145196 6828290392