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68288286 = 2311317503
BaseRepresentation
bin1000001000111…
…11111100011110
311202111101220210
410010133330132
5114440211121
610435353250
71456304133
oct404377436
9152441823
1068288286
1135602000
121aa52826
13111bc691
1490d858a
155edd876
hex411ff1e

68288286 has 64 divisors (see below), whose sum is σ = 159376896. Its totient is φ = 19437440.

The previous prime is 68288267. The next prime is 68288287.

68288286 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68288287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135511 + ... + 136013.

It is an arithmetic number, because the mean of its divisors is an integer number (2490264).

Almost surely, 268288286 is an apocalyptic number.

68288286 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68288286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79688448).

68288286 is an abundant number, since it is smaller than the sum of its proper divisors (91088610).

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

68288286 is a wasteful number, since it uses less digits than its factorization.

68288286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 68288286 is about 8263.6726701873. The cubic root of 68288286 is about 408.7415028768.

The spelling of 68288286 in words is "sixty-eight million, two hundred eighty-eight thousand, two hundred eighty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 503 561 726 1006 1122 1331 1509 2057 2662 3018 3993 4114 5533 6171 7986 8551 11066 12342 16599 17102 22627 25653 33198 45254 51306 60863 67881 94061 121726 135762 182589 188122 282183 365178 564366 669493 1034671 1338986 2008479 2069342 3104013 4016958 6208026 11381381 22762762 34144143 68288286