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38827973 is a prime number
BaseRepresentation
bin1001010000011…
…1011111000101
32201001122222002
42110013133011
534414443343
63504115045
7651014042
oct224073705
981048862
1038827973
111aa10038
1211005a85
138076242
14522a1c9
15361e8b8
hex25077c5

38827973 has 2 divisors, whose sum is σ = 38827974. Its totient is φ = 38827972.

The previous prime is 38827961. The next prime is 38827993. The reversal of 38827973 is 37972883.

It is a happy number.

38827973 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., 32512804 + 6315169 = 5702^2 + 2513^2 .

It is a cyclic number.

It is not a de Polignac number, because 38827973 - 224 = 22050757 is a prime.

It is a super-2 number, since 2×388279732 = 3015222974577458, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38827993) 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, 19413986 + 19413987.

It is an arithmetic number, because the mean of its divisors is an integer number (19413987).

Almost surely, 238827973 is an apocalyptic number.

It is an amenable number.

38827973 is a deficient number, since it is larger than the sum of its proper divisors (1).

38827973 is an equidigital number, since it uses as much as digits as its factorization.

38827973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The square root of 38827973 is about 6231.2095936503. The cubic root of 38827973 is about 338.6217940518.

The spelling of 38827973 in words is "thirty-eight million, eight hundred twenty-seven thousand, nine hundred seventy-three".