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424464417 = 32133627901
BaseRepresentation
bin11001010011001…
…101000000100001
31002120201000201100
4121103031000201
51332130330132
6110041425013
713342613406
oct3123150041
91076630640
10424464417
111a8665443
12ba19b169
1369c28aa0
14405322ad
15273e737c
hex194cd021

424464417 has 12 divisors (see below), whose sum is σ = 660278164. Its totient is φ = 261208800.

The previous prime is 424464377. The next prime is 424464419. The reversal of 424464417 is 714464424.

424464417 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 644 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 275526801 = 12204^2 + 16599^2 .

It is not a de Polignac number, because 424464417 - 27 = 424464289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424464419) 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 11 ways as a sum of consecutive naturals, for example, 1813834 + ... + 1814067.

Almost surely, 2424464417 is an apocalyptic number.

It is an amenable number.

424464417 is a deficient number, since it is larger than the sum of its proper divisors (235813747).

424464417 is a wasteful number, since it uses less digits than its factorization.

424464417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627920 (or 3627917 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 424464417 is about 20602.5342373214. The cubic root of 424464417 is about 751.5313405336.

The spelling of 424464417 in words is "four hundred twenty-four million, four hundred sixty-four thousand, four hundred seventeen".

Divisors: 1 3 9 13 39 117 3627901 10883703 32651109 47162713 141488139 424464417