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66424266 = 23319101641
BaseRepresentation
bin1111110101100…
…0110111001010
311121222200222000
43331120313022
5114001034031
610331411430
71434411516
oct375306712
9147880860
1066424266
1134549597
121a2b3b76
13109b90cc
148b71146
155c713e6
hex3f58dca

66424266 has 64 divisors (see below), whose sum is σ = 157161600. Its totient is φ = 20736000.

The previous prime is 66424229. The next prime is 66424279. The reversal of 66424266 is 66242466.

66424266 is a `hidden beast` number, since 6 + 642 + 4 + 2 + 6 + 6 = 666.

It is a super-2 number, since 2×664242662 = 8824366227277512, 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 66424266.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103306 + ... + 103946.

It is an arithmetic number, because the mean of its divisors is an integer number (2455650).

Almost surely, 266424266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66424266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78580800).

66424266 is an abundant number, since it is smaller than the sum of its proper divisors (90737334).

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

66424266 is a wasteful number, since it uses less digits than its factorization.

66424266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66424266 is about 8150.1083428381. The cubic root of 66424266 is about 404.9880929284.

The spelling of 66424266 in words is "sixty-six million, four hundred twenty-four thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 202 303 342 513 606 641 909 1026 1282 1818 1919 1923 2727 3838 3846 5454 5757 5769 11514 11538 12179 17271 17307 24358 34542 34614 36537 51813 64741 73074 103626 109611 129482 194223 219222 328833 388446 582669 657666 1165338 1230079 1748007 2460158 3496014 3690237 7380474 11070711 22141422 33212133 66424266