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678832656 = 243472391259
BaseRepresentation
bin101000011101100…
…010101000010000
31202022100021100020
4220131202220100
52342240121111
6151205423440
722551660645
oct5035425020
91668307306
10678832656
11319202027
1216b40ab80
13aa83a838
1466227dcc
153e8e0906
hex28762a10

678832656 has 80 divisors (see below), whose sum is σ = 1799884800. Its totient is φ = 220361344.

The previous prime is 678832607. The next prime is 678832657. The reversal of 678832656 is 656238876.

It is a junction number, because it is equal to n+sod(n) for n = 678832599 and 678832608.

It is not an unprimeable number, because it can be changed into a prime (678832657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538555 + ... + 539813.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2678832656 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 678832656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

678832656 is an abundant number, since it is smaller than the sum of its proper divisors (1121052144).

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

678832656 is a wasteful number, since it uses less digits than its factorization.

678832656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 678832656 is about 26054.4172070687. The cubic root of 678832656 is about 878.8624488862.

The spelling of 678832656 in words is "six hundred seventy-eight million, eight hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 239 282 376 478 564 717 752 956 1128 1259 1434 1912 2256 2518 2868 3777 3824 5036 5736 7554 10072 11233 11472 15108 20144 22466 30216 33699 44932 59173 60432 67398 89864 118346 134796 177519 179728 236692 269592 300901 355038 473384 539184 601802 710076 902703 946768 1203604 1420152 1805406 2407208 2840304 3610812 4814416 7221624 14142347 14443248 28284694 42427041 56569388 84854082 113138776 169708164 226277552 339416328 678832656