Search a number
-
+
39792133 is a prime number
BaseRepresentation
bin1001011111001…
…0111000000101
32202212122112201
42113302320011
540141322013
63540514501
7662141023
oct227627005
982778481
1039792133
1120509467
12113aba31
138323054
1453db713
1537603dd
hex25f2e05

39792133 has 2 divisors, whose sum is σ = 39792134. Its totient is φ = 39792132.

The previous prime is 39792107. The next prime is 39792149. The reversal of 39792133 is 33129793.

39792133 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., 19918369 + 19873764 = 4463^2 + 4458^2 .

It is a cyclic number.

It is not a de Polignac number, because 39792133 - 25 = 39792101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 39792092 and 39792101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39798133) 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, 19896066 + 19896067.

It is an arithmetic number, because the mean of its divisors is an integer number (19896067).

Almost surely, 239792133 is an apocalyptic number.

It is an amenable number.

39792133 is a deficient number, since it is larger than the sum of its proper divisors (1).

39792133 is an equidigital number, since it uses as much as digits as its factorization.

39792133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30618, while the sum is 37.

The square root of 39792133 is about 6308.1005857548. The cubic root of 39792133 is about 341.4017475536.

The spelling of 39792133 in words is "thirty-nine million, seven hundred ninety-two thousand, one hundred thirty-three".