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66841008 = 24313176301
BaseRepresentation
bin1111111011111…
…0100110110000
311122202212121220
43332332212300
5114102403013
610344345040
71441065513
oct376764660
9148685556
1066841008
1134803703
121a475180
1310b039c0
148c3cd7a
155d04b23
hex3fbe9b0

66841008 has 80 divisors (see below), whose sum is σ = 196924896. Its totient is φ = 19353600.

The previous prime is 66841007. The next prime is 66841037. The reversal of 66841008 is 80014866.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66841008.

It is not an unprimeable number, because it can be changed into a prime (66841001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7458 + ... + 13758.

Almost surely, 266841008 is an apocalyptic number.

66841008 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 66841008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98462448).

66841008 is an abundant number, since it is smaller than the sum of its proper divisors (130083888).

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

66841008 is a wasteful number, since it uses less digits than its factorization.

66841008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 66841008 is about 8175.6350212078. The cubic root of 66841008 is about 405.8332851071.

The spelling of 66841008 in words is "sixty-six million, eight hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 6301 10608 12602 18903 25204 37806 50408 75612 81913 100816 107117 151224 163826 214234 245739 302448 321351 327652 428468 491478 642702 655304 856936 982956 1285404 1310608 1392521 1713872 1965912 2570808 2785042 3931824 4177563 5141616 5570084 8355126 11140168 16710252 22280336 33420504 66841008