The standard deviation of a sample proportion p^ gets smaller as the sample size n increases. If the population proportion is p = 0.52, how large a sample is needed to reduce the standard deviation of p^ to σ = 0.004? (The 68-95-99.7 rule then says that about 95% of all samples will have p^ within 0.01 of the true p. Round your answer to up to the next whole number.)