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416084057 is a prime number
BaseRepresentation
bin11000110011001…
…111000001011001
31001222221021000122
4120303033001121
51323004142212
6105142043025
713211441024
oct3063170131
91058837018
10416084057
111a3961124
12b7419475
13682834ac
143d3901bb
15267de272
hex18ccf059

416084057 has 2 divisors, whose sum is σ = 416084058. Its totient is φ = 416084056.

The previous prime is 416084051. The next prime is 416084189. The reversal of 416084057 is 750480614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 415385161 + 698896 = 20381^2 + 836^2 .

It is a cyclic number.

It is not a de Polignac number, because 416084057 - 24 = 416084041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416084051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208042028 + 208042029.

It is an arithmetic number, because the mean of its divisors is an integer number (208042029).

Almost surely, 2416084057 is an apocalyptic number.

It is an amenable number.

416084057 is a deficient number, since it is larger than the sum of its proper divisors (1).

416084057 is an equidigital number, since it uses as much as digits as its factorization.

416084057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 416084057 is about 20398.1385670360. The cubic root of 416084057 is about 746.5525074149.

The spelling of 416084057 in words is "four hundred sixteen million, eighty-four thousand, fifty-seven".