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468006327 = 32187127793
BaseRepresentation
bin11011111001010…
…011010110110111
31012121122011222200
4123321103112313
51424302200302
6114234555543
714411662635
oct3371232667
91177564880
10468006327
112201a5098
12110898bb3
1375c62829
1446228355
152b14881c
hex1be535b7

468006327 has 12 divisors (see below), whose sum is σ = 676394784. Its totient is φ = 311826240.

The previous prime is 468006299. The next prime is 468006361. The reversal of 468006327 is 723600864.

It is not a de Polignac number, because 468006327 - 214 = 467989943 is a prime.

It is a super-2 number, since 2×4680063272 = 438059844224061858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468006291 and 468006300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468006827) 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 11 ways as a sum of consecutive naturals, for example, 2943 + ... + 30735.

It is an arithmetic number, because the mean of its divisors is an integer number (56366232).

Almost surely, 2468006327 is an apocalyptic number.

468006327 is a deficient number, since it is larger than the sum of its proper divisors (208388457).

468006327 is a wasteful number, since it uses less digits than its factorization.

468006327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 468006327 is about 21633.4538851289. The cubic root of 468006327 is about 776.3971063980.

The spelling of 468006327 in words is "four hundred sixty-eight million, six thousand, three hundred twenty-seven".

Divisors: 1 3 9 1871 5613 16839 27793 83379 250137 52000703 156002109 468006327