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38645977 is a prime number
BaseRepresentation
bin1001001101101…
…1000011011001
32200201102022111
42103123003121
534343132402
63500152321
7646325326
oct223330331
980642274
1038645977
111a8a6327
1210b386a1
138011456
1451bdb4d
1535d59d7
hex24db0d9

38645977 has 2 divisors, whose sum is σ = 38645978. Its totient is φ = 38645976.

The previous prime is 38645963. The next prime is 38645989. The reversal of 38645977 is 77954683.

It is a happy number.

38645977 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., 25512601 + 13133376 = 5051^2 + 3624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38645977 is a prime.

It is a super-3 number, since 3×386459773 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38645977.

It is not a weakly prime, because it can be changed into another prime (38645927) 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, 19322988 + 19322989.

It is an arithmetic number, because the mean of its divisors is an integer number (19322989).

Almost surely, 238645977 is an apocalyptic number.

It is an amenable number.

38645977 is a deficient number, since it is larger than the sum of its proper divisors (1).

38645977 is an equidigital number, since it uses as much as digits as its factorization.

38645977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 49.

The square root of 38645977 is about 6216.5888556346. The cubic root of 38645977 is about 338.0918981470.

The spelling of 38645977 in words is "thirty-eight million, six hundred forty-five thousand, nine hundred seventy-seven".