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58507417 is a prime number
BaseRepresentation
bin1101111100110…
…0000010011001
311002002111002101
43133030002121
5104434214132
65450003401
71310206363
oct337140231
9132074071
1058507417
1130031541
1217716561
13c176797
147aadd33
15520a7e7
hex37cc099

58507417 has 2 divisors, whose sum is σ = 58507418. Its totient is φ = 58507416.

The previous prime is 58507373. The next prime is 58507429. The reversal of 58507417 is 71470585.

58507417 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., 57699216 + 808201 = 7596^2 + 899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58507417 is a prime.

It is a super-3 number, since 3×585074173 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (58507457) 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, 29253708 + 29253709.

It is an arithmetic number, because the mean of its divisors is an integer number (29253709).

Almost surely, 258507417 is an apocalyptic number.

It is an amenable number.

58507417 is a deficient number, since it is larger than the sum of its proper divisors (1).

58507417 is an equidigital number, since it uses as much as digits as its factorization.

58507417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 58507417 is about 7649.0141194797. The cubic root of 58507417 is about 388.2132091549.

The spelling of 58507417 in words is "fifty-eight million, five hundred seven thousand, four hundred seventeen".