Search a number
-
+
480679201 is a prime number
BaseRepresentation
bin11100101001101…
…001010100100001
31020111111000220101
4130221221110201
51441023213301
6115410342401
714624464042
oct3451512441
91214430811
10480679201
11227370442
12114b8aa01
137877bb82
1447ba68c9
152c2ed701
hex1ca69521

480679201 has 2 divisors, whose sum is σ = 480679202. Its totient is φ = 480679200.

The previous prime is 480679163. The next prime is 480679223. The reversal of 480679201 is 102976084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314140176 + 166539025 = 17724^2 + 12905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-480679201 is a prime.

It is a super-3 number, since 3×4806792013 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480679501) 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, 240339600 + 240339601.

It is an arithmetic number, because the mean of its divisors is an integer number (240339601).

Almost surely, 2480679201 is an apocalyptic number.

It is an amenable number.

480679201 is a deficient number, since it is larger than the sum of its proper divisors (1).

480679201 is an equidigital number, since it uses as much as digits as its factorization.

480679201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 480679201 is about 21924.3973919467. The cubic root of 480679201 is about 783.3426572403.

The spelling of 480679201 in words is "four hundred eighty million, six hundred seventy-nine thousand, two hundred one".