Search a number
-
+
42097829 is a prime number
BaseRepresentation
bin1010000010010…
…1110010100101
32221012210100212
42200211302211
541234112304
64102145205
71020553124
oct240456245
987183325
1042097829
11218437a4
1212122205
13894c677
14583babb
153a6866e
hex2825ca5

42097829 has 2 divisors, whose sum is σ = 42097830. Its totient is φ = 42097828.

The previous prime is 42097819. The next prime is 42097837. The reversal of 42097829 is 92879024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40132225 + 1965604 = 6335^2 + 1402^2 .

It is a cyclic number.

It is not a de Polignac number, because 42097829 - 24 = 42097813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42097819) 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, 21048914 + 21048915.

It is an arithmetic number, because the mean of its divisors is an integer number (21048915).

Almost surely, 242097829 is an apocalyptic number.

It is an amenable number.

42097829 is a deficient number, since it is larger than the sum of its proper divisors (1).

42097829 is an equidigital number, since it uses as much as digits as its factorization.

42097829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 42097829 is about 6488.2839796051. The cubic root of 42097829 is about 347.8723410959.

The spelling of 42097829 in words is "forty-two million, ninety-seven thousand, eight hundred twenty-nine".