Search a number
-
+
38331793 is a prime number
BaseRepresentation
bin1001001000111…
…0010110010001
32200010110100001
42102032112101
534303104133
63445330001
7643546333
oct222162621
980113301
1038331793
111a701275
1210a06901
137c31446
14513b453
15357287d
hex248e591

38331793 has 2 divisors, whose sum is σ = 38331794. Its totient is φ = 38331792.

The previous prime is 38331763. The next prime is 38331809. The reversal of 38331793 is 39713383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29289744 + 9042049 = 5412^2 + 3007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38331793 is a prime.

It is not a weakly prime, because it can be changed into another prime (38331763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19165896 + 19165897.

It is an arithmetic number, because the mean of its divisors is an integer number (19165897).

Almost surely, 238331793 is an apocalyptic number.

It is an amenable number.

38331793 is a deficient number, since it is larger than the sum of its proper divisors (1).

38331793 is an equidigital number, since it uses as much as digits as its factorization.

38331793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 37.

The square root of 38331793 is about 6191.2674792808. The cubic root of 38331793 is about 337.1731976959.

The spelling of 38331793 in words is "thirty-eight million, three hundred thirty-one thousand, seven hundred ninety-three".