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289436238 = 232721325243
BaseRepresentation
bin10001010000000…
…111001001001110
3202011121212212200
4101100013021032
51043043424423
644415342330
710113111300
oct2120071116
9664555780
10289436238
11139419803
1280b219a6
1347c6c760
142a623970
151a623d43
hex1140724e

289436238 has 72 divisors (see below), whose sum is σ = 785643768. Its totient is φ = 76331808.

The previous prime is 289436221. The next prime is 289436239. The reversal of 289436238 is 832634982.

289436238 is a `hidden beast` number, since 289 + 4 + 362 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 289436193 and 289436202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289436239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156 + ... + 24087.

It is an arithmetic number, because the mean of its divisors is an integer number (10911719).

Almost surely, 2289436238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289436238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392821884).

289436238 is an abundant number, since it is smaller than the sum of its proper divisors (496207530).

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

289436238 is a wasteful number, since it uses less digits than its factorization.

289436238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25278 (or 25268 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 289436238 is about 17012.8256912248. The cubic root of 289436238 is about 661.4813969741.

The spelling of 289436238 in words is "two hundred eighty-nine million, four hundred thirty-six thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 25243 50486 75729 151458 176701 227187 328159 353402 454374 530103 656318 984477 1060206 1236907 1590309 1968954 2297113 2473814 2953431 3180618 3710721 4594226 5906862 6891339 7421442 11132163 13782678 16079791 20674017 22264326 32159582 41348034 48239373 96478746 144718119 289436238