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68626008 = 233311171699
BaseRepresentation
bin1000001011100…
…10011001011000
311210010120012000
410011302121120
5120032013013
610450521000
71462211553
oct405623130
9153116160
1068626008
1135812810
121ab96160
13112aa309
14918569a
156058973
hex4172658

68626008 has 128 divisors (see below), whose sum is σ = 220320000. Its totient is φ = 19560960.

The previous prime is 68626007. The next prime is 68626013. The reversal of 68626008 is 80062686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68626001) 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 31 ways as a sum of consecutive naturals, for example, 39543 + ... + 41241.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 268626008 is an apocalyptic number.

68626008 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68626008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160000).

68626008 is an abundant number, since it is smaller than the sum of its proper divisors (151693992).

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

68626008 is a wasteful number, since it uses less digits than its factorization.

68626008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68626008 is about 8284.0816026884. The cubic root of 68626008 is about 409.4142100469.

The spelling of 68626008 in words is "sixty-eight million, six hundred twenty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1699 1836 2244 2376 3366 3398 3672 4488 5049 5097 6732 6796 10098 10194 13464 13592 15291 18689 20196 20388 28883 30582 37378 40392 40776 45873 56067 57766 61164 74756 86649 91746 112134 115532 122328 149512 168201 173298 183492 224268 231064 259947 317713 336402 346596 366984 448536 504603 519894 635426 672804 693192 779841 953139 1009206 1039788 1270852 1345608 1559682 1906278 2018412 2079576 2541704 2859417 3119364 3812556 4036824 5718834 6238728 7625112 8578251 11437668 17156502 22875336 34313004 68626008