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682463376 = 2432723112
BaseRepresentation
bin101000101011011…
…001000010010000
31202120011201202100
4220223121002100
52344202312001
6151415320400
722624562100
oct5053310220
91676151670
10682463376
11320261921
12170680100
13ab50c2aa
14668d1200
153edab586
hex28ad9090

682463376 has 135 divisors (see below), whose sum is σ = 2228945043. Its totient is φ = 194362560.

The previous prime is 682463347. The next prime is 682463377. The reversal of 682463376 is 673364286.

The square root of 682463376 is 26124.

It is a perfect power (a square), and thus also a powerful number.

682463376 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 633 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (682463377) 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 26 ways as a sum of consecutive naturals, for example, 2194261 + ... + 2194571.

Almost surely, 2682463376 is an apocalyptic number.

682463376 is the 26124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682463376

682463376 is an abundant number, since it is smaller than the sum of its proper divisors (1546481667).

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

682463376 is a wasteful number, since it uses less digits than its factorization.

682463376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 323 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The cubic root of 682463376 is about 880.4265218884.

The spelling of 682463376 in words is "six hundred eighty-two million, four hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 311 336 392 441 504 588 622 784 882 933 1008 1176 1244 1764 1866 2177 2352 2488 2799 3528 3732 4354 4976 5598 6531 7056 7464 8708 11196 13062 14928 15239 17416 19593 22392 26124 30478 34832 39186 44784 45717 52248 60956 78372 91434 96721 104496 121912 137151 156744 182868 193442 243824 274302 290163 313488 365736 386884 548604 580326 677047 731472 773768 870489 1097208 1160652 1354094 1547536 1740978 2031141 2194416 2321304 2708188 3481956 4062282 4642608 4739329 5416376 6093423 6963912 8124564 9478658 10832752 12186846 13927824 14217987 16249128 18957316 24373692 28435974 32498256 37914632 42653961 48747384 56871948 75829264 85307922 97494768 113743896 170615844 227487792 341231688 682463376