Search a number
-
+
47417009 is a prime number
BaseRepresentation
bin1011010011100…
…0011010110001
310022020000220112
42310320122301
544114321014
64412151105
71114016003
oct264703261
9108200815
1047417009
1124847112
1213a68495
139a92803
146424373
15426973e
hex2d386b1

47417009 has 2 divisors, whose sum is σ = 47417010. Its totient is φ = 47417008.

The previous prime is 47416979. The next prime is 47417021. The reversal of 47417009 is 90071474.

47417009 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., 31192225 + 16224784 = 5585^2 + 4028^2 .

It is a cyclic number.

It is not a de Polignac number, because 47417009 - 220 = 46368433 is a prime.

It is a super-3 number, since 3×474170093 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47417809) 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, 23708504 + 23708505.

It is an arithmetic number, because the mean of its divisors is an integer number (23708505).

Almost surely, 247417009 is an apocalyptic number.

It is an amenable number.

47417009 is a deficient number, since it is larger than the sum of its proper divisors (1).

47417009 is an equidigital number, since it uses as much as digits as its factorization.

47417009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 47417009 is about 6886.0009439442. Note that the first 3 decimals coincide. The cubic root of 47417009 is about 361.9467810413.

The spelling of 47417009 in words is "forty-seven million, four hundred seventeen thousand, nine".