Search a number
-
+
42802829 is a prime number
BaseRepresentation
bin1010001101000…
…1111010001101
32222112121102222
42203101322031
541424142304
64125225125
71026550406
oct243217215
988477388
1042802829
1122185443
12124021a5
138b38524
1459829ad
153b574be
hex28d1e8d

42802829 has 2 divisors, whose sum is σ = 42802830. Its totient is φ = 42802828.

The previous prime is 42802813. The next prime is 42802831. The reversal of 42802829 is 92820824.

42802829 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., 42445225 + 357604 = 6515^2 + 598^2 .

It is a cyclic number.

It is not a de Polignac number, because 42802829 - 24 = 42802813 is a prime.

Together with 42802831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42802849) 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, 21401414 + 21401415.

It is an arithmetic number, because the mean of its divisors is an integer number (21401415).

Almost surely, 242802829 is an apocalyptic number.

It is an amenable number.

42802829 is a deficient number, since it is larger than the sum of its proper divisors (1).

42802829 is an equidigital number, since it uses as much as digits as its factorization.

42802829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 42802829 is about 6542.3871025796. The cubic root of 42802829 is about 349.8035060332.

The spelling of 42802829 in words is "forty-two million, eight hundred two thousand, eight hundred twenty-nine".