Search a number
-
+
66479364 = 22327331797
BaseRepresentation
bin1111110110011…
…0010100000100
311122002111112200
43331212110010
5114004314424
610332514500
71435031250
oct375462404
9148074480
1066479364
1134586a26
121a31ba30
1310a08203
148b87260
155c828c9
hex3f66504

66479364 has 72 divisors (see below), whose sum is σ = 192873408. Its totient is φ = 18912960.

The previous prime is 66479363. The next prime is 66479381. The reversal of 66479364 is 46397466.

66479364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66479363) 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 23 ways as a sum of consecutive naturals, for example, 83014 + ... + 83810.

Almost surely, 266479364 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 66479364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96436704).

66479364 is an abundant number, since it is smaller than the sum of its proper divisors (126394044).

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

66479364 is a wasteful number, since it uses less digits than its factorization.

66479364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 66479364 is about 8153.4878426352. The cubic root of 66479364 is about 405.1000393018.

The spelling of 66479364 in words is "sixty-six million, four hundred seventy-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 331 662 797 993 1324 1594 1986 2317 2391 2979 3188 3972 4634 4782 5579 5958 6951 7173 9268 9564 11158 11916 13902 14346 16737 20853 22316 27804 28692 33474 41706 50211 66948 83412 100422 200844 263807 527614 791421 1055228 1582842 1846649 2374263 3165684 3693298 4748526 5539947 7386596 9497052 11079894 16619841 22159788 33239682 66479364