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828367609 = 23434191999
BaseRepresentation
bin110001010111111…
…110001011111001
32010201201102201211
4301113332023321
53144030230414
6214110443121
726346002626
oct6127761371
92121642654
10828367609
11395656933
121b15034a1
13102805b64
147c03134d
154cacc3c4
hex315fe2f9

828367609 has 16 divisors (see below), whose sum is σ = 887040000. Its totient is φ = 771691536.

The previous prime is 828367607. The next prime is 828367633. The reversal of 828367609 is 906763828.

It is a cyclic number.

It is not a de Polignac number, because 828367609 - 21 = 828367607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828367607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413392 + ... + 415390.

It is an arithmetic number, because the mean of its divisors is an integer number (55440000).

Almost surely, 2828367609 is an apocalyptic number.

It is an amenable number.

828367609 is a deficient number, since it is larger than the sum of its proper divisors (58672391).

828367609 is a wasteful number, since it uses less digits than its factorization.

828367609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484.

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 828367609 is about 28781.3760789855. The cubic root of 828367609 is about 939.1631336247.

The spelling of 828367609 in words is "eight hundred twenty-eight million, three hundred sixty-seven thousand, six hundred nine".

Divisors: 1 23 43 419 989 1999 9637 18017 45977 85957 414391 837581 1977011 19264363 36015983 828367609