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42629009 is a prime number
BaseRepresentation
bin1010001010011…
…1011110010001
32222012210000012
42202213132101
541403112014
64121404305
71025224553
oct242473621
988183005
1042629009
1122076895
1212339695
138aa7387
1459394d3
153b20c3e
hex28a7791

42629009 has 2 divisors, whose sum is σ = 42629010. Its totient is φ = 42629008.

The previous prime is 42628987. The next prime is 42629017. The reversal of 42629009 is 90092624.

42629009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37246609 + 5382400 = 6103^2 + 2320^2 .

It is a cyclic number.

It is not a de Polignac number, because 42629009 - 216 = 42563473 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (44629009) 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, 21314504 + 21314505.

It is an arithmetic number, because the mean of its divisors is an integer number (21314505).

Almost surely, 242629009 is an apocalyptic number.

It is an amenable number.

42629009 is a deficient number, since it is larger than the sum of its proper divisors (1).

42629009 is an equidigital number, since it uses as much as digits as its factorization.

42629009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 42629009 is about 6529.0894464695. The cubic root of 42629009 is about 349.3293525039.

The spelling of 42629009 in words is "forty-two million, six hundred twenty-nine thousand, nine".