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682400238 = 2313194797101
BaseRepresentation
bin101000101011001…
…001100111101110
31202120001112010220
4220223021213232
52344143301423
6151414112210
722624210032
oct5053114756
91676045126
10682400238
11320219443
1217064b666
13ab4b9630
14668b61c2
153ed979e3
hex28ac99ee

682400238 has 128 divisors (see below), whose sum is σ = 1612154880. Its totient is φ = 190771200.

The previous prime is 682400237. The next prime is 682400261. The reversal of 682400238 is 832004286.

It is a super-4 number, since 4×6824002384 (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 682400199 and 682400208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682400231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6756388 + ... + 6756488.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2682400238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682400238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

682400238 is an abundant number, since it is smaller than the sum of its proper divisors (929754642).

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

682400238 is a wasteful number, since it uses less digits than its factorization.

682400238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 682400238 is about 26122.7915430185. The cubic root of 682400238 is about 880.3993702072.

The spelling of 682400238 in words is "six hundred eighty-two million, four hundred thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 47 57 78 94 97 101 114 141 194 202 247 282 291 303 494 582 606 611 741 893 1222 1261 1313 1482 1786 1833 1843 1919 2522 2626 2679 3666 3686 3783 3838 3939 4559 4747 5358 5529 5757 7566 7878 9118 9494 9797 11058 11514 11609 13677 14241 19594 23218 23959 24947 27354 28482 29391 34827 47918 49894 58782 59267 61711 69654 71877 74841 86621 90193 118534 123422 127361 143754 149682 173242 177801 180386 185133 186143 254722 259863 270579 355602 370266 372286 382083 460459 519726 541158 558429 764166 920918 1116858 1126073 1172509 1381377 2252146 2345018 2419859 2762754 3378219 3517527 4839718 5985967 6756438 7035054 7259577 8748721 11971934 14519154 17497442 17957901 26246163 35915802 52492326 113733373 227466746 341200119 682400238