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38588057 is a prime number
BaseRepresentation
bin1001001100110…
…0111010011001
32200121110212022
42103030322121
534334304212
63455024225
7645664424
oct223147231
980543768
1038588057
111a866862
1210b0b075
137cc0c91
1451a69bb
1535c3772
hex24cce99

38588057 has 2 divisors, whose sum is σ = 38588058. Its totient is φ = 38588056.

The previous prime is 38588041. The next prime is 38588059. The reversal of 38588057 is 75088583.

38588057 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 + 13075456 = 5051^2 + 3616^2 .

It is a cyclic number.

It is not a de Polignac number, because 38588057 - 24 = 38588041 is a prime.

Together with 38588059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 38587999 and 38588017.

It is not a weakly prime, because it can be changed into another prime (38588059) 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, 19294028 + 19294029.

It is an arithmetic number, because the mean of its divisors is an integer number (19294029).

Almost surely, 238588057 is an apocalyptic number.

It is an amenable number.

38588057 is a deficient number, since it is larger than the sum of its proper divisors (1).

38588057 is an equidigital number, since it uses as much as digits as its factorization.

38588057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 38588057 is about 6211.9286055137. The cubic root of 38588057 is about 337.9229105379.

The spelling of 38588057 in words is "thirty-eight million, five hundred eighty-eight thousand, fifty-seven".