Search a number
-
+
66648825 = 37522353
BaseRepresentation
bin1111111000111…
…1101011111001
311122102010000000
43332033223321
5114030230300
610340303213
71436335305
oct376175371
9148363000
1066648825
1134692281
121a3a1b09
1310a67399
148bccd05
155cb7c00
hex3f8faf9

66648825 has 96 divisors (see below), whose sum is σ = 131777280. Its totient is φ = 33359040.

The previous prime is 66648817. The next prime is 66648851. The reversal of 66648825 is 52884666.

It is not a de Polignac number, because 66648825 - 23 = 66648817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1257499 + ... + 1257551.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 266648825 is an apocalyptic number.

It is an amenable number.

66648825 is a deficient number, since it is larger than the sum of its proper divisors (65128455).

66648825 is an equidigital number, since it uses as much as digits as its factorization.

66648825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 66648825 is about 8163.8731616801. The cubic root of 66648825 is about 405.4439576040.

The spelling of 66648825 in words is "sixty-six million, six hundred forty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 53 69 75 81 115 135 159 207 225 243 265 345 405 477 575 621 675 729 795 1035 1215 1219 1325 1431 1725 1863 2025 2187 2385 3105 3645 3657 3975 4293 5175 5589 6075 6095 7155 9315 10935 10971 11925 12879 15525 16767 18225 18285 21465 27945 30475 32913 35775 38637 46575 50301 54675 54855 64395 83835 91425 98739 107325 115911 139725 164565 193185 251505 274275 296217 321975 419175 493695 579555 822825 888651 965925 1257525 1481085 2468475 2665953 2897775 4443255 7405425 13329765 22216275 66648825