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68418688 = 271341117
BaseRepresentation
bin1000001001111…
…11110010000000
311202202000210111
410010333302000
5120003344223
610442241104
71460356252
oct404776200
9152660714
1068418688
1135690a78
121aab6194
1311236b40
14912dcd2
15601730d
hex413fc80

68418688 has 32 divisors (see below), whose sum is σ = 146791260. Its totient is φ = 31577088.

The previous prime is 68418671. The next prime is 68418703. The reversal of 68418688 is 88681486.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 652864 = 8232^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×684186882 = 9362233735282688, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 18895 + ... + 22222.

Almost surely, 268418688 is an apocalyptic number.

It is an amenable number.

68418688 is an abundant number, since it is smaller than the sum of its proper divisors (78372572).

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

68418688 is a wasteful number, since it uses less digits than its factorization.

68418688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41144 (or 41132 counting only the distinct ones).

The product of its digits is 589824, while the sum is 49.

The square root of 68418688 is about 8271.5589824410. The cubic root of 68418688 is about 409.0015124196.

The spelling of 68418688 in words is "sixty-eight million, four hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 41117 82234 164468 328936 534521 657872 1069042 1315744 2138084 2631488 4276168 5262976 8552336 17104672 34209344 68418688