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6828462848 = 281271391511
BaseRepresentation
bin1100101110000001…
…00001001100000000
3122121212221212001102
412113000201030000
5102441041302343
63045325353532
7331133655644
oct62700411400
918555855042
106828462848
112994542229
1213a6a088a8
1384a90607c
1448ac66c24
1529e7333b8
hex197021300

6828462848 has 72 divisors (see below), whose sum is σ = 13845565440. Its totient is φ = 3360752640.

The previous prime is 6828462841. The next prime is 6828462857. The reversal of 6828462848 is 8482648286.

It is a happy number.

It is a super-2 number, since 2×68284628482 = 93255809733032542208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6828462793 and 6828462802.

It is not an unprimeable number, because it can be changed into a prime (6828462841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4518413 + ... + 4519923.

It is an arithmetic number, because the mean of its divisors is an integer number (192299520).

Almost surely, 26828462848 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 6828462848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922782720).

6828462848 is an abundant number, since it is smaller than the sum of its proper divisors (7017102592).

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

6828462848 is a wasteful number, since it uses less digits than its factorization.

6828462848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1779 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 56.

The square root of 6828462848 is about 82634.5136610605. The cubic root of 6828462848 is about 1897.1761234654.

The spelling of 6828462848 in words is "six billion, eight hundred twenty-eight million, four hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 139 254 256 278 508 556 1016 1112 1511 2032 2224 3022 4064 4448 6044 8128 8896 12088 16256 17653 17792 24176 32512 35306 35584 48352 70612 96704 141224 191897 193408 210029 282448 383794 386816 420058 564896 767588 840116 1129792 1535176 1680232 2259584 3070352 3360464 4519168 6140704 6720928 12281408 13441856 24562816 26673683 26883712 49125632 53347366 53767424 106694732 213389464 426778928 853557856 1707115712 3414231424 6828462848