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68288584 = 23713194937
BaseRepresentation
bin1000001001000…
…00000001001000
311202111102022211
410010200001020
5114440213314
610435354504
71456305040
oct404400110
9152442284
1068288584
1135602251
121aa52a34
13111bc860
1490d8720
155edd9c4
hex4120048

68288584 has 64 divisors (see below), whose sum is σ = 165916800. Its totient is φ = 25588224.

The previous prime is 68288579. The next prime is 68288593. The reversal of 68288584 is 48588286.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11364 + ... + 16300.

It is an arithmetic number, because the mean of its divisors is an integer number (2592450).

Almost surely, 268288584 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 68288584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82958400).

68288584 is an abundant number, since it is smaller than the sum of its proper divisors (97628216).

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

68288584 is a wasteful number, since it uses less digits than its factorization.

68288584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4978 counting only the distinct ones).

The product of its digits is 983040, while the sum is 49.

The square root of 68288584 is about 8263.6907008915. The cubic root of 68288584 is about 408.7420974385.

The spelling of 68288584 in words is "sixty-eight million, two hundred eighty-eight thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 4937 6916 9874 13832 19748 34559 39496 64181 69118 93803 128362 138236 187606 256724 276472 375212 449267 513448 656621 750424 898534 1219439 1313242 1797068 2438878 2626484 3594136 4877756 5252968 8536073 9755512 17072146 34144292 68288584