Search a number
-
+
42773033 is a prime number
BaseRepresentation
bin1010001100101…
…0101000101001
32222111002120102
42203022220221
541422214113
64124435145
71026364502
oct243125051
988432512
1042773033
1122165016
12123a8ab5
138b27ab4
145975ba9
153b4d758
hex28caa29

42773033 has 2 divisors, whose sum is σ = 42773034. Its totient is φ = 42773032.

The previous prime is 42773011. The next prime is 42773041. The reversal of 42773033 is 33037724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38291344 + 4481689 = 6188^2 + 2117^2 .

It is a cyclic number.

It is not a de Polignac number, because 42773033 - 224 = 25995817 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42772987 and 42773005.

It is not a weakly prime, because it can be changed into another prime (42773063) 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, 21386516 + 21386517.

It is an arithmetic number, because the mean of its divisors is an integer number (21386517).

Almost surely, 242773033 is an apocalyptic number.

It is an amenable number.

42773033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42773033 is an equidigital number, since it uses as much as digits as its factorization.

42773033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 29.

The square root of 42773033 is about 6540.1095556573. The cubic root of 42773033 is about 349.7223185281.

The spelling of 42773033 in words is "forty-two million, seven hundred seventy-three thousand, thirty-three".