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854228385 = 32518982853
BaseRepresentation
bin110010111010100…
…111110110100001
32012112101022001100
4302322213312201
53222140302020
6220433025013
730111551523
oct6272476641
92175338040
10854228385
113a920a47a
121ba0b5169
13107c8baaa
1481643a13
154eed9a90
hex32ea7da1

854228385 has 12 divisors (see below), whose sum is σ = 1480662612. Its totient is φ = 455588448.

The previous prime is 854228381. The next prime is 854228387. The reversal of 854228385 is 583822458.

854228385 is a `hidden beast` number, since 8 + 542 + 28 + 3 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417752721 + 436475664 = 20439^2 + 20892^2 .

It is not a de Polignac number, because 854228385 - 22 = 854228381 is a prime.

It is a super-2 number, since 2×8542283852 = 1459412267479416450, which contains 22 as substring.

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: 18982853 = 854228385 / (8 + 5 + 4 + 2 + 2 + 8 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 854228385.

It is not an unprimeable number, because it can be changed into a prime (854228381) 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 11 ways as a sum of consecutive naturals, for example, 9491382 + ... + 9491471.

It is an arithmetic number, because the mean of its divisors is an integer number (123388551).

Almost surely, 2854228385 is an apocalyptic number.

It is an amenable number.

854228385 is a deficient number, since it is larger than the sum of its proper divisors (626434227).

854228385 is a wasteful number, since it uses less digits than its factorization.

854228385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982864 (or 18982861 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 854228385 is about 29227.1857180947. The cubic root of 854228385 is about 948.8363906605.

The spelling of 854228385 in words is "eight hundred fifty-four million, two hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 18982853 56948559 94914265 170845677 284742795 854228385