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282048047 is a prime number
BaseRepresentation
bin10000110011111…
…011011000101111
3201122201112011222
4100303323120233
51034201014142
643553133555
76663240341
oct2063733057
9648645158
10282048047
11135232966
127a55a2bb
1346583948
142965d291
1519b64bd2
hex10cfb62f

282048047 has 2 divisors, whose sum is σ = 282048048. Its totient is φ = 282048046.

The previous prime is 282048007. The next prime is 282048083. The reversal of 282048047 is 740840282.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 282048047 - 210 = 282047023 is a prime.

It is a super-2 number, since 2×2820480472 = 159102201633028418, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 282047998 and 282048016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (282048007) 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 as a sum of consecutive naturals, namely, 141024023 + 141024024.

It is an arithmetic number, because the mean of its divisors is an integer number (141024024).

Almost surely, 2282048047 is an apocalyptic number.

282048047 is a deficient number, since it is larger than the sum of its proper divisors (1).

282048047 is an equidigital number, since it uses as much as digits as its factorization.

282048047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 282048047 is about 16794.2861414232. The cubic root of 282048047 is about 655.8044595842.

Subtracting from 282048047 its product of nonzero digits (28672), we obtain a triangular number (282019375 = T23749).

The spelling of 282048047 in words is "two hundred eighty-two million, forty-eight thousand, forty-seven".