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427204305 = 325111750767
BaseRepresentation
bin11001011101101…
…001111011010001
31002202212020010200
4121131221323101
51333331014210
6110220245413
713405114413
oct3135517321
91082766120
10427204305
111aa166a10
12bb0a0869
136a677c18
1440a469b3
15277890c0
hex19769ed1

427204305 has 48 divisors (see below), whose sum is σ = 855339264. Its totient is φ = 194941440.

The previous prime is 427204243. The next prime is 427204319. The reversal of 427204305 is 503402724.

427204305 is a `hidden beast` number, since 427 + 204 + 30 + 5 = 666.

It is not a de Polignac number, because 427204305 - 27 = 427204177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16969 + ... + 33798.

It is an arithmetic number, because the mean of its divisors is an integer number (17819568).

Almost surely, 2427204305 is an apocalyptic number.

427204305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427204305 is an abundant number, since it is smaller than the sum of its proper divisors (428134959).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427204305 is a wasteful number, since it uses less digits than its factorization.

427204305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50806 (or 50803 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 427204305 is about 20668.9212345492. The cubic root of 427204305 is about 753.1449010311.

The spelling of 427204305 in words is "four hundred twenty-seven million, two hundred four thousand, three hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 50767 152301 253835 456903 558437 761505 863039 1675311 2284515 2589117 2792185 4315195 5025933 7767351 8376555 9493429 12945585 25129665 28480287 38836755 47467145 85440861 142401435 427204305