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42307537 is a prime number
BaseRepresentation
bin1010000101100…
…0111111010001
32221121110000211
42201120333101
541312320122
64110444121
71022415406
oct241307721
987543024
1042307537
1121977308
1212203641
1389c3c5c
1458942ad
153aaa877
hex2858fd1

42307537 has 2 divisors, whose sum is σ = 42307538. Its totient is φ = 42307536.

The previous prime is 42307501. The next prime is 42307583. The reversal of 42307537 is 73570324.

42307537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28772496 + 13535041 = 5364^2 + 3679^2 .

It is a cyclic number.

It is not a de Polignac number, because 42307537 - 211 = 42305489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42307499 and 42307508.

It is not a weakly prime, because it can be changed into another prime (42307037) 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, 21153768 + 21153769.

It is an arithmetic number, because the mean of its divisors is an integer number (21153769).

Almost surely, 242307537 is an apocalyptic number.

It is an amenable number.

42307537 is a deficient number, since it is larger than the sum of its proper divisors (1).

42307537 is an equidigital number, since it uses as much as digits as its factorization.

42307537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 31.

The square root of 42307537 is about 6504.4244172717. The cubic root of 42307537 is about 348.4490201785.

The spelling of 42307537 in words is "forty-two million, three hundred seven thousand, five hundred thirty-seven".