Search a number
-
+
38046713 is a prime number
BaseRepresentation
bin1001000100100…
…0101111111001
32122120222021112
42101020233321
534214443323
63435250105
7641251235
oct221105771
978528245
1038046713
111a527071
12108a9935
137b61763
1450a55c5
153518178
hex2448bf9

38046713 has 2 divisors, whose sum is σ = 38046714. Its totient is φ = 38046712.

The previous prime is 38046707. The next prime is 38046719. The reversal of 38046713 is 31764083.

38046713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (38046707) and next prime (38046719).

It can be written as a sum of positive squares in only one way, i.e., 23931664 + 14115049 = 4892^2 + 3757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38046713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38046713.

It is not a weakly prime, because it can be changed into another prime (38046719) 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, 19023356 + 19023357.

It is an arithmetic number, because the mean of its divisors is an integer number (19023357).

Almost surely, 238046713 is an apocalyptic number.

It is an amenable number.

38046713 is a deficient number, since it is larger than the sum of its proper divisors (1).

38046713 is an equidigital number, since it uses as much as digits as its factorization.

38046713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 38046713 is about 6168.2017638855. The cubic root of 38046713 is about 336.3352456348.

The spelling of 38046713 in words is "thirty-eight million, forty-six thousand, seven hundred thirteen".