Search a number
-
+
38007601 is a prime number
BaseRepresentation
bin1001000011111…
…1001100110001
32122111222121221
42100333030301
534212220401
63434345041
7641026222
oct220771461
978458557
1038007601
111a4aa745
121088b181
137b49a08
145095249
15350b7a1
hex243f331

38007601 has 2 divisors, whose sum is σ = 38007602. Its totient is φ = 38007600.

The previous prime is 38007583. The next prime is 38007617. The reversal of 38007601 is 10670083.

38007601 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., 37945600 + 62001 = 6160^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 38007601 - 217 = 37876529 is a prime.

It is not a weakly prime, because it can be changed into another prime (38007691) 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, 19003800 + 19003801.

It is an arithmetic number, because the mean of its divisors is an integer number (19003801).

Almost surely, 238007601 is an apocalyptic number.

It is an amenable number.

38007601 is a deficient number, since it is larger than the sum of its proper divisors (1).

38007601 is an equidigital number, since it uses as much as digits as its factorization.

38007601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 38007601 is about 6165.0304946529. The cubic root of 38007601 is about 336.2199553039.

Adding to 38007601 its reverse (10670083), we get a palindrome (48677684).

It can be divided in two parts, 3800 and 7601, that multiplied together give a triangular number (28883800 = T7600).

The spelling of 38007601 in words is "thirty-eight million, seven thousand, six hundred one".