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42125729 is a prime number
BaseRepresentation
bin1010000010110…
…0100110100001
32221021012122012
42200230212201
541241010404
64102522305
71021030352
oct240544641
987235565
1042125729
1121862758
1212136395
13895c289
145847d29
153a71a6e
hex282c9a1

42125729 has 2 divisors, whose sum is σ = 42125730. Its totient is φ = 42125728.

The previous prime is 42125693. The next prime is 42125761. The reversal of 42125729 is 92752124.

It is an a-pointer prime, because the next prime (42125761) can be obtained adding 42125729 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36626704 + 5499025 = 6052^2 + 2345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42125729 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42125695 and 42125704.

It is not a weakly prime, because it can be changed into another prime (42125789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21062864 + 21062865.

It is an arithmetic number, because the mean of its divisors is an integer number (21062865).

Almost surely, 242125729 is an apocalyptic number.

It is an amenable number.

42125729 is a deficient number, since it is larger than the sum of its proper divisors (1).

42125729 is an equidigital number, since it uses as much as digits as its factorization.

42125729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 32.

The square root of 42125729 is about 6490.4336526922. The cubic root of 42125729 is about 347.9491739970.

The spelling of 42125729 in words is "forty-two million, one hundred twenty-five thousand, seven hundred twenty-nine".