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463330413 = 32713565727
BaseRepresentation
bin11011100111011…
…101110001101101
31012021211121211200
4123213131301231
51422103033123
6113550440113
714324146350
oct3347356155
91167747750
10463330413
112185a0aa7
1210b203039
1374cb6410
144576c297
152aa23143
hex1b9ddc6d

463330413 has 24 divisors (see below), whose sum is σ = 823699968. Its totient is φ = 244393632.

The previous prime is 463330403. The next prime is 463330429. The reversal of 463330413 is 314033364.

It is not a de Polignac number, because 463330413 - 26 = 463330349 is a prime.

It is a super-2 number, since 2×4633304132 = 429350143221501138, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463330403) 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 23 ways as a sum of consecutive naturals, for example, 282045 + ... + 283682.

It is an arithmetic number, because the mean of its divisors is an integer number (34320832).

Almost surely, 2463330413 is an apocalyptic number.

It is an amenable number.

463330413 is a deficient number, since it is larger than the sum of its proper divisors (360369555).

463330413 is a wasteful number, since it uses less digits than its factorization.

463330413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565753 (or 565750 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 463330413 is about 21525.1112192249. Note that the first 3 decimals coincide. The cubic root of 463330413 is about 773.8027510507.

Adding to 463330413 its reverse (314033364), we get a palindrome (777363777).

The spelling of 463330413 in words is "four hundred sixty-three million, three hundred thirty thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 565727 1697181 3960089 5091543 7354451 11880267 22063353 35640801 51481157 66190059 154443471 463330413