Search a number
-
+
66389796 = 223211215241
BaseRepresentation
bin1111110101000…
…0011100100100
311121220221200100
43331100130210
5113443433141
610330544100
71434206154
oct375203444
9147827610
1066389796
1134525700
121a298030
13109a6505
148b62764
155c660b6
hex3f50724

66389796 has 54 divisors (see below), whose sum is σ = 184473926. Its totient is φ = 20116800.

The previous prime is 66389779. The next prime is 66389797. The reversal of 66389796 is 69798366.

It is a happy number.

66389796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 3663396 = 7920^2 + 1914^2 .

It is not an unprimeable number, because it can be changed into a prime (66389797) 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 17 ways as a sum of consecutive naturals, for example, 3265 + ... + 11976.

Almost surely, 266389796 is an apocalyptic number.

66389796 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

66389796 is an abundant number, since it is smaller than the sum of its proper divisors (118084130).

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

66389796 is a wasteful number, since it uses less digits than its factorization.

66389796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15273 (or 15257 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 66389796 is about 8147.9933726041. The cubic root of 66389796 is about 404.9180263906.

The spelling of 66389796 in words is "sixty-six million, three hundred eighty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 15241 30482 45723 60964 91446 137169 167651 182892 274338 335302 502953 548676 670604 1005906 1508859 1844161 2011812 3017718 3688322 5532483 6035436 7376644 11064966 16597449 22129932 33194898 66389796