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480778307 is a prime number
BaseRepresentation
bin11100101010000…
…001100001000011
31020111200001211222
4130222001201003
51441034401212
6115412425255
714625356012
oct3452014103
91214601758
10480778307
11227428949
1211501822b
13787b5009
1447bd0a79
152c31cc72
hex1ca81843

480778307 has 2 divisors, whose sum is σ = 480778308. Its totient is φ = 480778306.

The previous prime is 480778237. The next prime is 480778339. The reversal of 480778307 is 703877084.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-480778307 is a prime.

It is a super-3 number, since 3×4807783073 (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 (480778387) 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, 240389153 + 240389154.

It is an arithmetic number, because the mean of its divisors is an integer number (240389154).

Almost surely, 2480778307 is an apocalyptic number.

480778307 is a deficient number, since it is larger than the sum of its proper divisors (1).

480778307 is an equidigital number, since it uses as much as digits as its factorization.

480778307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 44.

The square root of 480778307 is about 21926.6574516044. The cubic root of 480778307 is about 783.3964898327.

The spelling of 480778307 in words is "four hundred eighty million, seven hundred seventy-eight thousand, three hundred seven".