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199952047 is a prime number
BaseRepresentation
bin10111110101100…
…00011010101111
3111221020121122101
423322300122233
5402141431142
631501355531
74645364401
oct1372603257
9457217571
10199952047
11a295aa29
1256b68ba7
133256b529
141c7acb71
151284a0b7
hexbeb06af

199952047 has 2 divisors, whose sum is σ = 199952048. Its totient is φ = 199952046.

The previous prime is 199952009. The next prime is 199952059. The reversal of 199952047 is 740259991.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-199952047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 199951988 and 199952006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (199952747) 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, 99976023 + 99976024.

It is an arithmetic number, because the mean of its divisors is an integer number (99976024).

Almost surely, 2199952047 is an apocalyptic number.

199952047 is a deficient number, since it is larger than the sum of its proper divisors (1).

199952047 is an equidigital number, since it uses as much as digits as its factorization.

199952047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 46.

The square root of 199952047 is about 14140.4401275208. The cubic root of 199952047 is about 584.7568054325.

The spelling of 199952047 in words is "one hundred ninety-nine million, nine hundred fifty-two thousand, forty-seven".