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429601409 is a prime number
BaseRepresentation
bin11001100110110…
…011001010000001
31002221101000100022
4121212303022001
51334434221114
6110343503225
713434360146
oct3146631201
91087330308
10429601409
11200553996
12bba57b15
136b007023
14410ac3cd
1527aae48e
hex199b3281

429601409 has 2 divisors, whose sum is σ = 429601410. Its totient is φ = 429601408.

The previous prime is 429601363. The next prime is 429601421. The reversal of 429601409 is 904106924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322023025 + 107578384 = 17945^2 + 10372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-429601409 is a prime.

It is a super-2 number, since 2×4296014092 = 369114741229570562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (429601489) 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, 214800704 + 214800705.

It is an arithmetic number, because the mean of its divisors is an integer number (214800705).

Almost surely, 2429601409 is an apocalyptic number.

It is an amenable number.

429601409 is a deficient number, since it is larger than the sum of its proper divisors (1).

429601409 is an equidigital number, since it uses as much as digits as its factorization.

429601409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 429601409 is about 20726.8282426424. The cubic root of 429601409 is about 754.5509421204.

The spelling of 429601409 in words is "four hundred twenty-nine million, six hundred one thousand, four hundred nine".