Search a number
-
+
42791429 is a prime number
BaseRepresentation
bin1010001100111…
…1001000000101
32222112000210202
42203033020011
541423311204
64125100245
71026502232
oct243171005
988460722
1042791429
112217791a
12123b7685
138b33295
14597c789
153b53e1e
hex28cf205

42791429 has 2 divisors, whose sum is σ = 42791430. Its totient is φ = 42791428.

The previous prime is 42791417. The next prime is 42791447. The reversal of 42791429 is 92419724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29138404 + 13653025 = 5398^2 + 3695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42791429 is a prime.

It is a super-2 number, since 2×427914292 = 3662212791724082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42791392 and 42791401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42799429) 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, 21395714 + 21395715.

It is an arithmetic number, because the mean of its divisors is an integer number (21395715).

Almost surely, 242791429 is an apocalyptic number.

It is an amenable number.

42791429 is a deficient number, since it is larger than the sum of its proper divisors (1).

42791429 is an equidigital number, since it uses as much as digits as its factorization.

42791429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 38.

The square root of 42791429 is about 6541.5158029313. The cubic root of 42791429 is about 349.7724480078.

The spelling of 42791429 in words is "forty-two million, seven hundred ninety-one thousand, four hundred twenty-nine".