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38200753 is a prime number
BaseRepresentation
bin1001000110111…
…0010110110001
32122212210120201
42101232112301
534234411003
63442435201
7642462313
oct221562661
978783521
1038200753
111a621878
1210962b01
137bb68c6
1451057b3
153548b1d
hex246e5b1

38200753 has 2 divisors, whose sum is σ = 38200754. Its totient is φ = 38200752.

The previous prime is 38200739. The next prime is 38200759. The reversal of 38200753 is 35700283.

38200753 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., 37051569 + 1149184 = 6087^2 + 1072^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38200753 is a prime.

It is a super-3 number, since 3×382007533 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (38200759) 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, 19100376 + 19100377.

It is an arithmetic number, because the mean of its divisors is an integer number (19100377).

Almost surely, 238200753 is an apocalyptic number.

It is an amenable number.

38200753 is a deficient number, since it is larger than the sum of its proper divisors (1).

38200753 is an equidigital number, since it uses as much as digits as its factorization.

38200753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 38200753 is about 6180.6757721142. The cubic root of 38200753 is about 336.7885420703.

The spelling of 38200753 in words is "thirty-eight million, two hundred thousand, seven hundred fifty-three".