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683209842 = 23724994657
BaseRepresentation
bin101000101110001…
…111010001110010
31202121120122201020
4220232033101302
52344400203332
6151443320310
722634121300
oct5056172162
91677518636
10683209842
11320721737
12170980096
13ab710ca3
1466a47270
153eea782c
hex28b8f472

683209842 has 48 divisors (see below), whose sum is σ = 1593036000. Its totient is φ = 194769792.

The previous prime is 683209829. The next prime is 683209861. The reversal of 683209842 is 248902386.

683209842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 683209794 and 683209803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144378 + ... + 149034.

It is an arithmetic number, because the mean of its divisors is an integer number (33188250).

Almost surely, 2683209842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683209842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796518000).

683209842 is an abundant number, since it is smaller than the sum of its proper divisors (909826158).

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

683209842 is a wasteful number, since it uses less digits than its factorization.

683209842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 683209842 is about 26138.2830729182. The cubic root of 683209842 is about 880.7474030856.

The spelling of 683209842 in words is "six hundred eighty-three million, two hundred nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 499 998 1497 2994 3493 4657 6986 9314 10479 13971 20958 24451 27942 32599 48902 65198 73353 97797 146706 195594 228193 456386 684579 1369158 2323843 4647686 6971529 13943058 16266901 32533802 48800703 97601406 113868307 227736614 341604921 683209842