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66809295 = 3257241739
BaseRepresentation
bin1111111011011…
…0110111001111
311122201021010100
43332312313033
5114100344140
610343542143
71440604200
oct376666717
9148637110
1066809295
11347918a3
121a45a953
1310ac2437
148c315a7
155cea530
hex3fb6dcf

66809295 has 72 divisors (see below), whose sum is σ = 138181680. Its totient is φ = 29756160.

The previous prime is 66809291. The next prime is 66809321. The reversal of 66809295 is 59290866.

It is not a de Polignac number, because 66809295 - 22 = 66809291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66809295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66809291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90036 + ... + 90774.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 266809295 is an apocalyptic number.

66809295 is an abundant number, since it is smaller than the sum of its proper divisors (71372385).

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

66809295 is a wasteful number, since it uses less digits than its factorization.

66809295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 66809295 is about 8173.6953087328. The cubic root of 66809295 is about 405.7690918454.

The spelling of 66809295 in words is "sixty-six million, eight hundred nine thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 49 63 105 123 147 205 245 287 315 369 441 615 735 739 861 1435 1845 2009 2205 2217 2583 3695 4305 5173 6027 6651 10045 11085 12915 15519 18081 25865 30135 30299 33255 36211 46557 77595 90405 90897 108633 151495 181055 212093 232785 272691 325899 454485 543165 636279 1060465 1363455 1484651 1629495 1908837 3181395 4453953 7423255 9544185 13361859 22269765 66809295