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416054393 is a prime number
BaseRepresentation
bin11000110011000…
…111110001111001
31001222212202022222
4120303013301321
51323002220033
6105141253425
713211255366
oct3063076171
91058782288
10416054393
111a3940907
12b7404275
1368272b41
143d38346d
15267d5598
hex18cc7c79

416054393 has 2 divisors, whose sum is σ = 416054394. Its totient is φ = 416054392.

The previous prime is 416054363. The next prime is 416054407. The reversal of 416054393 is 393450614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395333689 + 20720704 = 19883^2 + 4552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416054393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (416054323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208027196 + 208027197.

It is an arithmetic number, because the mean of its divisors is an integer number (208027197).

Almost surely, 2416054393 is an apocalyptic number.

It is an amenable number.

416054393 is a deficient number, since it is larger than the sum of its proper divisors (1).

416054393 is an equidigital number, since it uses as much as digits as its factorization.

416054393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 416054393 is about 20397.4114289044. The cubic root of 416054393 is about 746.5347655993.

The spelling of 416054393 in words is "four hundred sixteen million, fifty-four thousand, three hundred ninety-three".