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683768448 = 27321153959
BaseRepresentation
bin101000110000010…
…111101010000000
31202122122000222100
4220300113222000
52400021042243
6151503310400
722641636006
oct5060275200
91678560870
10683768448
11320a733a0
12170bab400
13ab87831c
1466b50a76
15400680d3
hex28c17a80

683768448 has 96 divisors (see below), whose sum is σ = 2146528800. Its totient is φ = 207198720.

The previous prime is 683768429. The next prime is 683768461. The reversal of 683768448 is 844867386.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 683768394 and 683768403.

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 11 ways as a sum of consecutive naturals, for example, 14308 + ... + 39651.

It is an arithmetic number, because the mean of its divisors is an integer number (22359675).

Almost surely, 2683768448 is an apocalyptic number.

It is an amenable number.

683768448 is an abundant number, since it is smaller than the sum of its proper divisors (1462760352).

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

683768448 is a wasteful number, since it uses less digits than its factorization.

683768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53990 (or 53975 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 683768448 is about 26148.9664805323. The cubic root of 683768448 is about 880.9873765790.

The spelling of 683768448 in words is "six hundred eighty-three million, seven hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 53959 107918 161877 215836 323754 431672 485631 593549 647508 863344 971262 1187098 1295016 1726688 1780647 1942524 2374196 2590032 3453376 3561294 3885048 4748392 5180064 5341941 6906752 7122588 7770096 9496784 10360128 10683882 14245176 15540192 18993568 20720256 21367764 28490352 31080384 37987136 42735528 56980704 62160768 75974272 85471056 113961408 170942112 227922816 341884224 683768448