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38764513 is a prime number
BaseRepresentation
bin1001001111011…
…1111111100001
32200221102220201
42103313333201
534410431023
63502505201
7650331034
oct223677741
980842821
1038764513
111a977397
1210b95201
1380533a8
14521101b
15360abad
hex24f7fe1

38764513 has 2 divisors, whose sum is σ = 38764514. Its totient is φ = 38764512.

The previous prime is 38764511. The next prime is 38764547. The reversal of 38764513 is 31546783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37307664 + 1456849 = 6108^2 + 1207^2 .

It is a cyclic number.

It is not a de Polignac number, because 38764513 - 21 = 38764511 is a prime.

Together with 38764511, it forms a pair of twin primes.

It is equal to p2362879 and since 38764513 and 2362879 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (38764511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19382256 + 19382257.

It is an arithmetic number, because the mean of its divisors is an integer number (19382257).

Almost surely, 238764513 is an apocalyptic number.

It is an amenable number.

38764513 is a deficient number, since it is larger than the sum of its proper divisors (1).

38764513 is an equidigital number, since it uses as much as digits as its factorization.

38764513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 37.

The square root of 38764513 is about 6226.1154020786. The cubic root of 38764513 is about 338.4372135795.

The spelling of 38764513 in words is "thirty-eight million, seven hundred sixty-four thousand, five hundred thirteen".