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66242365 = 5721012677
BaseRepresentation
bin1111110010110…
…0011100111101
311121122110102221
43330230130331
5113424223430
610323445341
71433023300
oct374543475
9147573387
1066242365
1134434962
121a226851
1310954387
148b24b37
155c3757a
hex3f2c73d

66242365 has 24 divisors (see below), whose sum is σ = 93419352. Its totient is φ = 44956800.

The previous prime is 66242359. The next prime is 66242389. The reversal of 66242365 is 56324266.

It can be written as a sum of positive squares in 4 ways, for example, as 5433561 + 60808804 = 2331^2 + 7798^2 .

It is not a de Polignac number, because 66242365 - 23 = 66242357 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66242365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23407 + ... + 26083.

It is an arithmetic number, because the mean of its divisors is an integer number (3892473).

Almost surely, 266242365 is an apocalyptic number.

It is an amenable number.

66242365 is a deficient number, since it is larger than the sum of its proper divisors (27176987).

66242365 is a wasteful number, since it uses less digits than its factorization.

66242365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2790 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 66242365 is about 8138.9412702144. The cubic root of 66242365 is about 404.6180720926.

The spelling of 66242365 in words is "sixty-six million, two hundred forty-two thousand, three hundred sixty-five".

Divisors: 1 5 7 35 49 101 245 505 707 2677 3535 4949 13385 18739 24745 93695 131173 270377 655865 1351885 1892639 9463195 13248473 66242365