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68208588 = 22337212889
BaseRepresentation
bin1000001000011…
…00011111001100
311202100100121000
410010030133030
5114430133323
610433540300
71455522600
oct404143714
9152310530
1068208588
1135558138
121aa14690
1311192316
1490b7500
155ec4e43
hex410c7cc

68208588 has 72 divisors (see below), whose sum is σ = 205724400. Its totient is φ = 19486656.

The previous prime is 68208577. The next prime is 68208589. The reversal of 68208588 is 88580286.

68208588 is a `hidden beast` number, since 68 + 2 + 0 + 8 + 588 = 666.

It is a super-2 number, since 2×682085882 = 9304822953907488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68208589) 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 23 ways as a sum of consecutive naturals, for example, 1153 + ... + 11736.

Almost surely, 268208588 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 68208588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102862200).

68208588 is an abundant number, since it is smaller than the sum of its proper divisors (137515812).

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

68208588 is a wasteful number, since it uses less digits than its factorization.

68208588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 68208588 is about 8258.8490723587. The cubic root of 68208588 is about 408.5824294186.

The spelling of 68208588 in words is "sixty-eight million, two hundred eight thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12889 25778 38667 51556 77334 90223 116001 154668 180446 232002 270669 348003 360892 464004 541338 631561 696006 812007 1082676 1263122 1392012 1624014 1894683 2436021 2526244 3248028 3789366 4872042 5684049 7578732 9744084 11368098 17052147 22736196 34104294 68208588