Search a number
-
+
42585181 is a prime number
BaseRepresentation
bin1010001001110…
…0110001011101
32222010112212221
42202130301131
541400211211
64120425341
71024653022
oct242346135
988115787
1042585181
1122046971
1212318251
138a90442
145927549
153b12c71
hex289cc5d

42585181 has 2 divisors, whose sum is σ = 42585182. Its totient is φ = 42585180.

The previous prime is 42585173. The next prime is 42585199. The reversal of 42585181 is 18158524.

42585181 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., 40525956 + 2059225 = 6366^2 + 1435^2 .

It is a cyclic number.

It is not a de Polignac number, because 42585181 - 23 = 42585173 is a prime.

It is a super-2 number, since 2×425851812 = 3626995281605522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42585281) 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, 21292590 + 21292591.

It is an arithmetic number, because the mean of its divisors is an integer number (21292591).

Almost surely, 242585181 is an apocalyptic number.

It is an amenable number.

42585181 is a deficient number, since it is larger than the sum of its proper divisors (1).

42585181 is an equidigital number, since it uses as much as digits as its factorization.

42585181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12800, while the sum is 34.

The square root of 42585181 is about 6525.7322194525. The cubic root of 42585181 is about 349.2095932348.

The spelling of 42585181 in words is "forty-two million, five hundred eighty-five thousand, one hundred eighty-one".