Search a number
-
+
42733433 is a prime number
BaseRepresentation
bin1010001100000…
…0111101111001
32222102002020202
42203000331321
541414432213
64123531545
71026141161
oct243007571
988362222
1042733433
1122138296
1212389bb5
138b12a72
1459655a1
153b41b58
hex28c0f79

42733433 has 2 divisors, whose sum is σ = 42733434. Its totient is φ = 42733432.

The previous prime is 42733429. The next prime is 42733487. The reversal of 42733433 is 33433724.

42733433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42471289 + 262144 = 6517^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 42733433 - 22 = 42733429 is a prime.

It is a super-2 number, since 2×427334332 = 3652292591930978, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42733396 and 42733405.

It is not a weakly prime, because it can be changed into another prime (42738433) 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, 21366716 + 21366717.

It is an arithmetic number, because the mean of its divisors is an integer number (21366717).

Almost surely, 242733433 is an apocalyptic number.

It is an amenable number.

42733433 is a deficient number, since it is larger than the sum of its proper divisors (1).

42733433 is an equidigital number, since it uses as much as digits as its factorization.

42733433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 29.

The square root of 42733433 is about 6537.0813823908. The cubic root of 42733433 is about 349.6143589180.

The spelling of 42733433 in words is "forty-two million, seven hundred thirty-three thousand, four hundred thirty-three".