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396216585 = 3258804813
BaseRepresentation
bin10111100111011…
…100100100001001
31000121112212222100
4113213130210021
51302412412320
6103152144013
712550533252
oct2747344411
91017485870
10396216585
11193721426
12b0838009
13641184ab
143a89bb29
1524bb7790
hex179dc909

396216585 has 12 divisors (see below), whose sum is σ = 686775492. Its totient is φ = 211315488.

The previous prime is 396216571. The next prime is 396216619. The reversal of 396216585 is 585612693.

396216585 is a `hidden beast` number, since 3 + 9 + 62 + 1 + 6 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 275128569 = 11004^2 + 16587^2 .

It is not a de Polignac number, because 396216585 - 214 = 396200201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 8804813 = 396216585 / (3 + 9 + 6 + 2 + 1 + 6 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 396216585.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4402362 + ... + 4402451.

It is an arithmetic number, because the mean of its divisors is an integer number (57231291).

Almost surely, 2396216585 is an apocalyptic number.

It is an amenable number.

396216585 is a deficient number, since it is larger than the sum of its proper divisors (290558907).

396216585 is a wasteful number, since it uses less digits than its factorization.

396216585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804824 (or 8804821 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 396216585 is about 19905.1899011288. The cubic root of 396216585 is about 734.4759001485.

The spelling of 396216585 in words is "three hundred ninety-six million, two hundred sixteen thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 8804813 26414439 44024065 79243317 132072195 396216585