Search a number
-
+
38214577 is a prime number
BaseRepresentation
bin1001000111000…
…1101110110001
32122220111112201
42101301232301
534240331302
63443023201
7642550522
oct221615661
978814481
1038214577
111a6311a5
121096ab01
137bbcc9b
14510a849
15354cc87
hex2471bb1

38214577 has 2 divisors, whose sum is σ = 38214578. Its totient is φ = 38214576.

The previous prime is 38214557. The next prime is 38214581. The reversal of 38214577 is 77541283.

38214577 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., 32216976 + 5997601 = 5676^2 + 2449^2 .

It is a cyclic number.

It is not a de Polignac number, because 38214577 - 211 = 38212529 is a prime.

It is not a weakly prime, because it can be changed into another prime (38214557) 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, 19107288 + 19107289.

It is an arithmetic number, because the mean of its divisors is an integer number (19107289).

Almost surely, 238214577 is an apocalyptic number.

It is an amenable number.

38214577 is a deficient number, since it is larger than the sum of its proper divisors (1).

38214577 is an equidigital number, since it uses as much as digits as its factorization.

38214577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47040, while the sum is 37.

The square root of 38214577 is about 6181.7939952735. The cubic root of 38214577 is about 336.8291625899.

The spelling of 38214577 in words is "thirty-eight million, two hundred fourteen thousand, five hundred seventy-seven".