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682283984 = 24174096133
BaseRepresentation
bin101000101010101…
…101001111010000
31202112211121200012
4220222231033100
52344131041414
6151411414052
722623214064
oct5052551720
91675747605
10682283984
1132014a068
121705b4328
13ab478745
1466885aa4
153ed7333e
hex28aad3d0

682283984 has 40 divisors (see below), whose sum is σ = 1403336520. Its totient is φ = 320237568.

The previous prime is 682283971. The next prime is 682284019. The reversal of 682283984 is 489382286.

It can be written as a sum of positive squares in 4 ways, for example, as 534904384 + 147379600 = 23128^2 + 12140^2 .

It is a super-2 number, since 2×6822839842 = 931022869645824512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108182 + ... + 114314.

It is an arithmetic number, because the mean of its divisors is an integer number (35083413).

Almost surely, 2682283984 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 682283984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701668260).

682283984 is an abundant number, since it is smaller than the sum of its proper divisors (721052536).

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

682283984 is a wasteful number, since it uses less digits than its factorization.

682283984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567 (or 6561 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 682283984 is about 26120.5663032025. The cubic root of 682283984 is about 880.3493722952.

The spelling of 682283984 in words is "six hundred eighty-two million, two hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 409 818 1636 3272 6133 6544 6953 12266 13906 24532 27812 49064 55624 98128 104261 111248 208522 417044 834088 1668176 2508397 5016794 10033588 20067176 40134352 42642749 85285498 170570996 341141992 682283984