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683893 = 7217821
BaseRepresentation
bin10100110111101110101
31021202010101
42212331311
5133341033
622354101
75545600
oct2467565
91252111
10683893
11427901
1228b931
131ac392
1413b337
15d797d
hexa6f75

683893 has 12 divisors (see below), whose sum is σ = 843372. Its totient is φ = 551040.

The previous prime is 683887. The next prime is 683899. The reversal of 683893 is 398386.

It is a happy number.

683893 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (683887) and next prime (683899).

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 321489 = 602^2 + 567^2 .

It is not a de Polignac number, because 683893 - 25 = 683861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683899) 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 11 ways as a sum of consecutive naturals, for example, 423 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (70281).

2683893 is an apocalyptic number.

It is an amenable number.

683893 is a deficient number, since it is larger than the sum of its proper divisors (159479).

683893 is a wasteful number, since it uses less digits than its factorization.

683893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 683893 is about 826.9782342964. The cubic root of 683893 is about 88.1040865485.

The spelling of 683893 in words is "six hundred eighty-three thousand, eight hundred ninety-three".

Divisors: 1 7 17 49 119 821 833 5747 13957 40229 97699 683893