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66041226 = 232171937307
BaseRepresentation
bin1111101111101…
…1010110001010
311121021020112100
43323323112022
5113401304401
610315254230
71431225006
oct373732612
9147236470
1066041226
1134307829
121a14a376
13108b3964
148ab1706
155be7b86
hex3efb58a

66041226 has 96 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 19035648.

The previous prime is 66041219. The next prime is 66041267. The reversal of 66041226 is 62214066.

It is a happy number.

It is a super-2 number, since 2×660412262 = 8722887063166152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66041226.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214965 + ... + 215271.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 266041226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66041226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

66041226 is an abundant number, since it is smaller than the sum of its proper divisors (98282934).

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

66041226 is a wasteful number, since it uses less digits than its factorization.

66041226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66041226 is about 8126.5752934431. The cubic root of 66041226 is about 404.2081280643.

The spelling of 66041226 in words is "sixty-six million, forty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 19 34 37 38 51 57 74 102 111 114 153 171 222 306 307 323 333 342 614 629 646 666 703 921 969 1258 1406 1842 1887 1938 2109 2763 2907 3774 4218 5219 5526 5661 5814 5833 6327 10438 11322 11359 11666 11951 12654 15657 17499 22718 23902 31314 34077 34998 35853 46971 52497 68154 71706 93942 99161 102231 104994 107559 193103 198322 204462 215118 215821 297483 386206 431642 579309 594966 647463 892449 1158618 1294926 1737927 1784898 1942389 3475854 3668957 3884778 7337914 11006871 22013742 33020613 66041226