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683209296 = 2433711192347
BaseRepresentation
bin101000101110001…
…111001001010000
31202121120121222000
4220232033021100
52344400144141
6151443314000
722634116560
oct5056171120
91677517860
10683209296
11320721290
1217097b900
13ab710973
1466a46da0
153eea75b6
hex28b8f250

683209296 has 640 divisors, whose sum is σ = 2742681600. Its totient is φ = 157386240.

The previous prime is 683209283. The next prime is 683209313. The reversal of 683209296 is 692902386.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14536345 + ... + 14536391.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2683209296 is an apocalyptic number.

683209296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683209296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371340800).

683209296 is an abundant number, since it is smaller than the sum of its proper divisors (2059472304).

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

683209296 is a wasteful number, since it uses less digits than its factorization.

683209296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 683209296 is about 26138.2726284657. The cubic root of 683209296 is about 880.7471684636.

The spelling of 683209296 in words is "six hundred eighty-three million, two hundred nine thousand, two hundred ninety-six".