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66618244 = 2272112532
BaseRepresentation
bin1111111000100…
…0001110000100
311122100120001101
43332020032010
5114023240434
610335505444
71436150200
oct376101604
9148316041
1066618244
1134671300
121a388284
1310a564a4
148bc1b00
155cadb14
hex3f88384

66618244 has 81 divisors (see below), whose sum is σ = 151930821. Its totient is φ = 25465440.

The previous prime is 66618239. The next prime is 66618247. The reversal of 66618244 is 44281666.

The square root of 66618244 is 8162.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 18593344 = 6930^2 + 4312^2 .

It is not an unprimeable number, because it can be changed into a prime (66618247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1256922 + ... + 1256974.

Almost surely, 266618244 is an apocalyptic number.

66618244 is the 8162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66618244

66618244 is an abundant number, since it is smaller than the sum of its proper divisors (85312577).

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

66618244 is a wasteful number, since it uses less digits than its factorization.

66618244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The cubic root of 66618244 is about 405.3819371132.

The spelling of 66618244 in words is "sixty-six million, six hundred eighteen thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 53 77 98 106 121 154 196 212 242 308 371 484 539 583 742 847 1078 1166 1484 1694 2156 2332 2597 2809 3388 4081 5194 5618 5929 6413 8162 10388 11236 11858 12826 16324 19663 23716 25652 28567 30899 39326 44891 57134 61798 78652 89782 114268 123596 137641 179564 216293 275282 314237 339889 432586 550564 628474 679778 865172 1256948 1359556 1514051 2379223 3028102 4758446 6056204 9516892 16654561 33309122 66618244