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38681057 is a prime number
BaseRepresentation
bin1001001110001…
…1100111100001
32200210012102202
42103203213201
534400243212
63501022545
7646532522
oct223434741
980705382
1038681057
111a91a718
1210b54a55
1380243cc
1451cc849
1535e10c2
hex24e39e1

38681057 has 2 divisors, whose sum is σ = 38681058. Its totient is φ = 38681056.

The previous prime is 38681051. The next prime is 38681063. The reversal of 38681057 is 75018683.

38681057 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 (38681051) and next prime (38681063).

It can be written as a sum of positive squares in only one way, i.e., 32535616 + 6145441 = 5704^2 + 2479^2 .

It is an emirp because it is prime and its reverse (75018683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38681057 - 214 = 38664673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38681057.

It is not a weakly prime, because it can be changed into another prime (38681051) 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, 19340528 + 19340529.

It is an arithmetic number, because the mean of its divisors is an integer number (19340529).

Almost surely, 238681057 is an apocalyptic number.

It is an amenable number.

38681057 is a deficient number, since it is larger than the sum of its proper divisors (1).

38681057 is an equidigital number, since it uses as much as digits as its factorization.

38681057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 38681057 is about 6219.4096986772. The cubic root of 38681057 is about 338.1941656005.

The spelling of 38681057 in words is "thirty-eight million, six hundred eighty-one thousand, fifty-seven".