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480667153 is a prime number
BaseRepresentation
bin11100101001100…
…110011000010001
31020111110102101011
4130221212120101
51441022322103
6115410210521
714624413651
oct3451463021
91214412334
10480667153
1122736238a
12114b83a41
1378776545
1447ba2361
152c2e9d6d
hex1ca66611

480667153 has 2 divisors, whose sum is σ = 480667154. Its totient is φ = 480667152.

The previous prime is 480667151. The next prime is 480667157. The reversal of 480667153 is 351766084.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 455737104 + 24930049 = 21348^2 + 4993^2 .

It is a cyclic number.

It is not a de Polignac number, because 480667153 - 21 = 480667151 is a prime.

It is a super-3 number, since 3×4806671533 (a number of 27 digits) contains 333 as substring.

Together with 480667151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (480667151) 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, 240333576 + 240333577.

It is an arithmetic number, because the mean of its divisors is an integer number (240333577).

Almost surely, 2480667153 is an apocalyptic number.

It is an amenable number.

480667153 is a deficient number, since it is larger than the sum of its proper divisors (1).

480667153 is an equidigital number, since it uses as much as digits as its factorization.

480667153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 480667153 is about 21924.1226278271. The cubic root of 480667153 is about 783.3361124795.

The spelling of 480667153 in words is "four hundred eighty million, six hundred sixty-seven thousand, one hundred fifty-three".