Search a number
-
+
66648276 = 223219139701
BaseRepresentation
bin1111111000111…
…1100011010100
311122102002020200
43332033203110
5114030221101
610340300500
71436333562
oct376174324
9148362220
1066648276
1134691922
121a3a1730
1310a67066
148bcca32
155cb7986
hex3f8f8d4

66648276 has 72 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 20865600.

The previous prime is 66648269. The next prime is 66648289. The reversal of 66648276 is 67284666.

Its product of digits (580608) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94726 + ... + 95426.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 266648276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66648276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

66648276 is an abundant number, since it is smaller than the sum of its proper divisors (112221324).

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

66648276 is a wasteful number, since it uses less digits than its factorization.

66648276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 864 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 66648276 is about 8163.8395378645. The cubic root of 66648276 is about 405.4428443594.

The spelling of 66648276 in words is "sixty-six million, six hundred forty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 139 171 228 278 342 417 556 684 701 834 1251 1402 1668 2103 2502 2641 2804 4206 5004 5282 6309 7923 8412 10564 12618 13319 15846 23769 25236 26638 31692 39957 47538 53276 79914 95076 97439 119871 159828 194878 239742 292317 389756 479484 584634 876951 1169268 1753902 1851341 3507804 3702682 5554023 7405364 11108046 16662069 22216092 33324138 66648276