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42087029 is a prime number
BaseRepresentation
bin1010000010001…
…1001001110101
32221012020112212
42200203021311
541233241104
64102023205
71020506465
oct240431165
987166485
1042087029
1121836676
1212117b05
13894778a
145837ba5
153a6536e
hex2823275

42087029 has 2 divisors, whose sum is σ = 42087030. Its totient is φ = 42087028.

The previous prime is 42086969. The next prime is 42087037. The reversal of 42087029 is 92078024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41280625 + 806404 = 6425^2 + 898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42087029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42086986 and 42087004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42087629) 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, 21043514 + 21043515.

It is an arithmetic number, because the mean of its divisors is an integer number (21043515).

Almost surely, 242087029 is an apocalyptic number.

It is an amenable number.

42087029 is a deficient number, since it is larger than the sum of its proper divisors (1).

42087029 is an equidigital number, since it uses as much as digits as its factorization.

42087029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 42087029 is about 6487.4516568526. The cubic root of 42087029 is about 347.8425902140.

The spelling of 42087029 in words is "forty-two million, eighty-seven thousand, twenty-nine".