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683756268 = 22313191971171
BaseRepresentation
bin101000110000010…
…100101011101100
31202122121102021020
4220300110223230
52400020200033
6151503134140
722641555336
oct5060245354
91678542236
10683756268
11320a65228
12170ba4350
13ab872910
1466b4a456
15400646b3
hex28c14aec

683756268 has 96 divisors (see below), whose sum is σ = 1819319040. Its totient is φ = 198132480.

The previous prime is 683756267. The next prime is 683756273. The reversal of 683756268 is 862657386.

It is a self number, because there is not a number n which added to its sum of digits gives 683756268.

It is not an unprimeable number, because it can be changed into a prime (683756267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583323 + ... + 584493.

It is an arithmetic number, because the mean of its divisors is an integer number (18951240).

Almost surely, 2683756268 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 683756268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909659520).

683756268 is an abundant number, since it is smaller than the sum of its proper divisors (1135562772).

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

683756268 is a wasteful number, since it uses less digits than its factorization.

683756268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

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

The square root of 683756268 is about 26148.7335831011. The cubic root of 683756268 is about 880.9821455246.

The spelling of 683756268 in words is "six hundred eighty-three million, seven hundred fifty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 197 228 247 394 494 591 741 788 988 1171 1182 1482 2342 2364 2561 2964 3513 3743 4684 5122 7026 7486 7683 10244 11229 14052 14972 15223 15366 22249 22458 30446 30732 44498 44916 45669 48659 60892 66747 88996 91338 97318 133494 145977 182676 194636 230687 266988 289237 291954 461374 578474 583908 692061 867711 922748 1156948 1384122 1735422 2768244 2998931 3470844 4383053 5997862 8766106 8996793 11995724 13149159 17532212 17993586 26298318 35987172 52596636 56979689 113959378 170939067 227918756 341878134 683756268