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493106427 = 33116732467
BaseRepresentation
bin11101011001000…
…011010011111011
31021100212101212000
4131121003103323
52002213401202
6120532552043
715135223032
oct3531032373
91240771760
10493106427
11233389180
12119182623
137b210468
14496bd719
152d45591c
hex1d6434fb

493106427 has 32 divisors (see below), whose sum is σ = 798447360. Its totient is φ = 298287360.

The previous prime is 493106357. The next prime is 493106441. The reversal of 493106427 is 724601394.

493106427 is a `hidden beast` number, since 4 + 9 + 3 + 1 + 0 + 642 + 7 = 666.

It is not a de Polignac number, because 493106427 - 28 = 493106171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 493106391 and 493106400.

It is not an unprimeable number, because it can be changed into a prime (493106927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 198648 + ... + 201114.

It is an arithmetic number, because the mean of its divisors is an integer number (24951480).

Almost surely, 2493106427 is an apocalyptic number.

493106427 is a deficient number, since it is larger than the sum of its proper divisors (305340933).

493106427 is a wasteful number, since it uses less digits than its factorization.

493106427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 493106427 is about 22205.9997973521. Note that the first 3 decimals coincide. The cubic root of 493106427 is about 790.0360112837.

The spelling of 493106427 in words is "four hundred ninety-three million, one hundred six thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 27 33 99 297 673 2019 2467 6057 7401 7403 18171 22203 22209 27137 66609 66627 81411 199881 244233 732699 1660291 4980873 14942619 18263201 44827857 54789603 164368809 493106427