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208382538 = 237131953379
BaseRepresentation
bin11000110101110…
…10101001001010
3112112002221002210
430122322221022
5411321220123
632402205550
75110136160
oct1432725112
9475087083
10208382538
11a7698981
12599538b6
13342308a0
141d965230
1513462e93
hexc6baa4a

208382538 has 128 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 50948352.

The previous prime is 208382497. The next prime is 208382563. The reversal of 208382538 is 835283802.

208382538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 208382496 and 208382505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549633 + ... + 550011.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2208382538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208382538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

208382538 is an abundant number, since it is smaller than the sum of its proper divisors (343195062).

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

208382538 is a wasteful number, since it uses less digits than its factorization.

208382538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 208382538 is about 14435.4611287620. The cubic root of 208382538 is about 592.8622179411.

The spelling of 208382538 in words is "two hundred eight million, three hundred eighty-two thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 53 57 78 91 106 114 133 159 182 247 266 273 318 371 379 399 494 546 689 741 742 758 798 1007 1113 1137 1378 1482 1729 2014 2067 2226 2274 2653 3021 3458 4134 4823 4927 5187 5306 6042 7049 7201 7959 9646 9854 10374 13091 14098 14402 14469 14781 15918 20087 21147 21603 26182 28938 29562 34489 39273 40174 42294 43206 50407 60261 68978 78546 91637 93613 100814 103467 120522 140609 151221 183274 187226 206934 261131 274911 280839 281218 302442 381653 421827 522262 549822 561678 655291 763306 783393 843654 1144959 1310582 1566786 1827917 1965873 2289918 2671571 3655834 3931746 4961489 5343142 5483751 8014713 9922978 10967502 14884467 16029426 29768934 34730423 69460846 104191269 208382538