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38985601 is a prime number
BaseRepresentation
bin1001010010110…
…1111110000001
32201100200012011
42110231332001
534440014401
63511332521
7652241434
oct224557601
981320164
1038985601
1120008506
1211081141
1380ccc05
14526b81b
153651451
hex252df81

38985601 has 2 divisors, whose sum is σ = 38985602. Its totient is φ = 38985600.

The previous prime is 38985593. The next prime is 38985613. The reversal of 38985601 is 10658983.

It is a happy number.

38985601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36663025 + 2322576 = 6055^2 + 1524^2 .

It is a cyclic number.

It is not a de Polignac number, because 38985601 - 23 = 38985593 is a prime.

It is not a weakly prime, because it can be changed into another prime (38985671) 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, 19492800 + 19492801.

It is an arithmetic number, because the mean of its divisors is an integer number (19492801).

Almost surely, 238985601 is an apocalyptic number.

It is an amenable number.

38985601 is a deficient number, since it is larger than the sum of its proper divisors (1).

38985601 is an equidigital number, since it uses as much as digits as its factorization.

38985601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 38985601 is about 6243.8450493266. The cubic root of 38985601 is about 339.0794040756.

The spelling of 38985601 in words is "thirty-eight million, nine hundred eighty-five thousand, six hundred one".