Search a number
-
+
66463056 = 24321141959
BaseRepresentation
bin1111110110001…
…0010101010000
311122001200011200
43331202111100
5114003304211
610332311200
71434632562
oct375422520
9148050150
1066463056
1134575750
121a312500
1310a0096a
148b81332
155c7cb56
hex3f62550

66463056 has 60 divisors (see below), whose sum is σ = 202918560. Its totient is φ = 20139840.

The previous prime is 66463051. The next prime is 66463057. The reversal of 66463056 is 65036466.

66463056 is a `hidden beast` number, since 6 + 646 + 3 + 0 + 5 + 6 = 666.

66463056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66463056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66463051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19396 + ... + 22563.

It is an arithmetic number, because the mean of its divisors is an integer number (3381976).

Almost surely, 266463056 is an apocalyptic number.

66463056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

66463056 is an abundant number, since it is smaller than the sum of its proper divisors (136455504).

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

66463056 is a wasteful number, since it uses less digits than its factorization.

66463056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41984 (or 41975 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66463056 is about 8152.4877184820. The cubic root of 66463056 is about 405.0669116698.

The spelling of 66463056 in words is "sixty-six million, four hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 41959 83918 125877 167836 251754 335672 377631 461549 503508 671344 755262 923098 1007016 1384647 1510524 1846196 2014032 2769294 3021048 3692392 4153941 5538588 6042096 7384784 8307882 11077176 16615764 22154352 33231528 66463056