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2009417 = 173409
BaseRepresentation
bin111101010100101001001
310210002101212
413222211021
51003300132
6111022505
723036234
oct7524511
93702355
102009417
111152783
1280aa35
13554807
143a441b
1529a5b2
hex1ea949

2009417 has 8 divisors (see below), whose sum is σ = 2140200. Its totient is φ = 1886592.

The previous prime is 2009407. The next prime is 2009437. The reversal of 2009417 is 7149002.

It can be written as a sum of positive squares in 4 ways, for example, as 808201 + 1201216 = 899^2 + 1096^2 .

It is not a de Polignac number, because 2009417 - 210 = 2008393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2009392 and 2009401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4709 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (267525).

22009417 is an apocalyptic number.

It is an amenable number.

2009417 is a deficient number, since it is larger than the sum of its proper divisors (130783).

2009417 is an frugal number, since it uses more digits than its factorization.

2009417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2009417 is about 1417.5390647174. The cubic root of 2009417 is about 126.1895400474.

The spelling of 2009417 in words is "two million, nine thousand, four hundred seventeen".

Divisors: 1 17 289 409 4913 6953 118201 2009417