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412789249 is a prime number
BaseRepresentation
bin11000100110101…
…010101000000001
31001202201212101201
4120212222220001
51321133223444
6104543301201
713141436125
oct3046525001
91052655351
10412789249
111a2010744
12b62aa801
136769b8c2
143cb73585
152638cdd4
hex189aaa01

412789249 has 2 divisors, whose sum is σ = 412789250. Its totient is φ = 412789248.

The previous prime is 412789229. The next prime is 412789259. The reversal of 412789249 is 942987214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386830224 + 25959025 = 19668^2 + 5095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412789249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 412789199 and 412789208.

It is not a weakly prime, because it can be changed into another prime (412789229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206394624 + 206394625.

It is an arithmetic number, because the mean of its divisors is an integer number (206394625).

Almost surely, 2412789249 is an apocalyptic number.

It is an amenable number.

412789249 is a deficient number, since it is larger than the sum of its proper divisors (1).

412789249 is an equidigital number, since it uses as much as digits as its factorization.

412789249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 46.

The square root of 412789249 is about 20317.2155818655. The cubic root of 412789249 is about 744.5767299724.

The spelling of 412789249 in words is "four hundred twelve million, seven hundred eighty-nine thousand, two hundred forty-nine".