Search a number
-
+
481042481 is a prime number
BaseRepresentation
bin11100101011000…
…010000000110001
31020112011111020012
4130223002000301
51441121324411
6115422224305
714630536133
oct3453020061
91215144205
10481042481
11227599377
12115125095
137887832a
1447c5d053
152c37118b
hex1cac2031

481042481 has 2 divisors, whose sum is σ = 481042482. Its totient is φ = 481042480.

The previous prime is 481042453. The next prime is 481042543. The reversal of 481042481 is 184240184.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 360240400 + 120802081 = 18980^2 + 10991^2 .

It is a cyclic number.

It is not a de Polignac number, because 481042481 - 218 = 480780337 is a prime.

It is a super-3 number, since 3×4810424813 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (481042411) 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, 240521240 + 240521241.

It is an arithmetic number, because the mean of its divisors is an integer number (240521241).

Almost surely, 2481042481 is an apocalyptic number.

It is an amenable number.

481042481 is a deficient number, since it is larger than the sum of its proper divisors (1).

481042481 is an equidigital number, since it uses as much as digits as its factorization.

481042481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 481042481 is about 21932.6806615151. The cubic root of 481042481 is about 783.5399482541.

The spelling of 481042481 in words is "four hundred eighty-one million, forty-two thousand, four hundred eighty-one".