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683249856 = 26317353593
BaseRepresentation
bin101000101110011…
…001000011000000
31202121122200121020
4220232121003000
52344402443411
6151444225440
722634346042
oct5056310300
91677580536
10683249856
11320749803
1217099b280
13ab726273
1466a57a92
153eeb4606
hex28b990c0

683249856 has 112 divisors (see below), whose sum is σ = 1922763744. Its totient is φ = 213385216.

The previous prime is 683249843. The next prime is 683249893. The reversal of 683249856 is 658942386.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 683249799 and 683249808.

It is an unprimeable number.

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, 1151896 + ... + 1152488.

Almost surely, 2683249856 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 683249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961381872).

683249856 is an abundant number, since it is smaller than the sum of its proper divisors (1239513888).

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

683249856 is a wasteful number, since it uses less digits than its factorization.

683249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 683249856 is about 26139.0484907160. The cubic root of 683249856 is about 880.7645971873.

The spelling of 683249856 in words is "six hundred eighty-three million, two hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 353 408 544 593 706 816 1059 1088 1186 1412 1632 1779 2118 2372 2824 3264 3558 4236 4744 5648 6001 7116 8472 9488 10081 11296 12002 14232 16944 18003 18976 20162 22592 24004 28464 30243 33888 36006 37952 40324 48008 56928 60486 67776 72012 80648 96016 113856 120972 144024 161296 192032 209329 241944 288048 322592 384064 418658 483888 576096 627987 645184 837316 967776 1152192 1255974 1674632 1935552 2511948 3349264 3558593 5023896 6698528 7117186 10047792 10675779 13397056 14234372 20095584 21351558 28468744 40191168 42703116 56937488 85406232 113874976 170812464 227749952 341624928 683249856