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682819056 = 243212737337
BaseRepresentation
bin101000101100101…
…111110111110000
31202120211210122200
4220230233313300
52344300202211
6151431103200
722630603053
oct5054576760
91676753580
10682819056
11320485077
12170811b00
13ab60515a
1466984a9a
153ee2bb56
hex28b2fdf0

682819056 has 60 divisors (see below), whose sum is σ = 1926043392. Its totient is φ = 225808128.

The previous prime is 682819037. The next prime is 682819069. The reversal of 682819056 is 650918286.

It is a super-2 number, since 2×6828190562 = 932483726473462272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 36956.

Almost surely, 2682819056 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 682819056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963021696).

682819056 is an abundant number, since it is smaller than the sum of its proper divisors (1243224336).

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

682819056 is a wasteful number, since it uses less digits than its factorization.

682819056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37478 (or 37469 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 682819056 is about 26130.8066465618. The cubic root of 682819056 is about 880.5794461969.

The spelling of 682819056 in words is "six hundred eighty-two million, eight hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 37337 74674 112011 149348 224022 298696 336033 448044 597392 672066 896088 1344132 1792176 2688264 4741799 5376528 9483598 14225397 18967196 28450794 37934392 42676191 56901588 75868784 85352382 113803176 170704764 227606352 341409528 682819056