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387000413 is a prime number
BaseRepresentation
bin10111000100010…
…010100001011101
3222222012122202122
4113010102201131
51243033003123
6102222432325
712406310042
oct2704224135
9888178678
10387000413
111894a7158
12a97326a5
136223c637
143957d1c9
1523e96bc8
hex1711285d

387000413 has 2 divisors, whose sum is σ = 387000414. Its totient is φ = 387000412.

The previous prime is 387000407. The next prime is 387000431. The reversal of 387000413 is 314000783.

Together with next prime (387000431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 383454724 + 3545689 = 19582^2 + 1883^2 .

It is a cyclic number.

It is not a de Polignac number, because 387000413 - 214 = 386984029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (387000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193500206 + 193500207.

It is an arithmetic number, because the mean of its divisors is an integer number (193500207).

Almost surely, 2387000413 is an apocalyptic number.

It is an amenable number.

387000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

387000413 is an equidigital number, since it uses as much as digits as its factorization.

387000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 387000413 is about 19672.3260698881. The cubic root of 387000413 is about 728.7364223438.

The spelling of 387000413 in words is "three hundred eighty-seven million, four hundred thirteen", and thus it is an aban number.