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415928321 is a prime number
BaseRepresentation
bin11000110010101…
…001000000000001
31001222122100101122
4120302221000001
51322434201241
6105134442025
713210222004
oct3062510001
91058570348
10415928321
111a3865116
12b7363315
136822a643
143d34d53b
15267ad04b
hex18ca9001

415928321 has 2 divisors, whose sum is σ = 415928322. Its totient is φ = 415928320.

The previous prime is 415928281. The next prime is 415928327. The reversal of 415928321 is 123829514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211295296 + 204633025 = 14536^2 + 14305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-415928321 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (415928327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207964160 + 207964161.

It is an arithmetic number, because the mean of its divisors is an integer number (207964161).

Almost surely, 2415928321 is an apocalyptic number.

It is an amenable number.

415928321 is a deficient number, since it is larger than the sum of its proper divisors (1).

415928321 is an equidigital number, since it uses as much as digits as its factorization.

415928321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The square root of 415928321 is about 20394.3208026156. The cubic root of 415928321 is about 746.4593534732.

The spelling of 415928321 in words is "four hundred fifteen million, nine hundred twenty-eight thousand, three hundred twenty-one".