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468252009 = 382329107
BaseRepresentation
bin11011111010001…
…111010101101001
31012122002200000000
4123322033111221
51424333031014
6114244133213
714414035131
oct3372172551
91178080000
10468252009
11220352735
12110997209
137601a5c4
144628dac1
152b196509
hex1be8f569

468252009 has 72 divisors (see below), whose sum is σ = 765236160. Its totient is φ = 285604704.

The previous prime is 468251989. The next prime is 468252011. The reversal of 468252009 is 900252864.

It is a happy number.

It is not a de Polignac number, because 468252009 - 25 = 468251977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468252049) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4376134 + ... + 4376240.

It is an arithmetic number, because the mean of its divisors is an integer number (10628280).

Almost surely, 2468252009 is an apocalyptic number.

It is an amenable number.

468252009 is a deficient number, since it is larger than the sum of its proper divisors (296984151).

468252009 is an equidigital number, since it uses as much as digits as its factorization.

468252009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 468252009 is about 21639.1314289645. The cubic root of 468252009 is about 776.5329403350.

The spelling of 468252009 in words is "four hundred sixty-eight million, two hundred fifty-two thousand, nine".

Divisors: 1 3 9 23 27 29 69 81 87 107 207 243 261 321 621 667 729 783 963 1863 2001 2187 2349 2461 2889 3103 5589 6003 6561 7047 7383 8667 9309 16767 18009 21141 22149 26001 27927 50301 54027 63423 66447 71369 78003 83781 150903 162081 190269 199341 214107 234009 251343 486243 598023 642321 702027 754029 1458729 1794069 1926963 2262087 4376187 5382207 5780889 6786261 16146621 17342667 20358783 52028001 156084003 468252009