Search a number
-
+
66395295 = 345712309
BaseRepresentation
bin1111110101000…
…1110010011111
311121221020020000
43331101302133
5113444122140
610331025343
71434231201
oct375216237
9147836200
1066395295
113452984a
121a29b253
13109a8b75
148b64771
155c67a30
hex3f51c9f

66395295 has 40 divisors (see below), whose sum is σ = 120748320. Its totient is φ = 34896960.

The previous prime is 66395257. The next prime is 66395299. The reversal of 66395295 is 59259366.

66395295 is a `hidden beast` number, since 6 + 639 + 5 + 2 + 9 + 5 = 666.

It is not a de Polignac number, because 66395295 - 210 = 66394271 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 66395295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66395299) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 27601 + ... + 29909.

It is an arithmetic number, because the mean of its divisors is an integer number (3018708).

Almost surely, 266395295 is an apocalyptic number.

66395295 is a deficient number, since it is larger than the sum of its proper divisors (54353025).

66395295 is a wasteful number, since it uses less digits than its factorization.

66395295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 66395295 is about 8148.3308106630. The cubic root of 66395295 is about 404.9292057328.

The spelling of 66395295 in words is "sixty-six million, three hundred ninety-five thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 71 81 135 213 355 405 639 1065 1917 2309 3195 5751 6927 9585 11545 20781 28755 34635 62343 103905 163939 187029 311715 491817 819695 935145 1475451 2459085 4426353 7377255 13279059 22131765 66395295