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4084909317 = 3222312891579
BaseRepresentation
bin1111001101111010…
…1100010100000101
3101112200110220010200
43303132230110011
531331214044232
61513201441113
7203141104416
oct36336542405
911480426120
104084909317
111806908915
12960040199
135013b0508
142aa73780d
1518d94877c
hexf37ac505

4084909317 has 24 divisors (see below), whose sum is σ = 5935238400. Its totient is φ = 2707242048.

The previous prime is 4084909307. The next prime is 4084909337. The reversal of 4084909317 is 7139094804.

It is not a de Polignac number, because 4084909317 - 28 = 4084909061 is a prime.

It is a super-2 number, since 2×40849093172 = 33372968256226812978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084909307) 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 23 ways as a sum of consecutive naturals, for example, 2586234 + ... + 2587812.

It is an arithmetic number, because the mean of its divisors is an integer number (247301600).

Almost surely, 24084909317 is an apocalyptic number.

It is an amenable number.

4084909317 is a deficient number, since it is larger than the sum of its proper divisors (1850329083).

4084909317 is a wasteful number, since it uses less digits than its factorization.

4084909317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4084909317 is about 63913.2953070017. The cubic root of 4084909317 is about 1598.5545952975.

The spelling of 4084909317 in words is "four billion, eighty-four million, nine hundred nine thousand, three hundred seventeen".

Divisors: 1 3 9 223 669 1289 1579 2007 3867 4737 11601 14211 287447 352117 862341 1056351 2035331 2587023 3169053 6105993 18317979 453878813 1361636439 4084909317