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480558337 = 729807313
BaseRepresentation
bin11100101001001…
…011110100000001
31020111020220002221
4130221023310001
51441010331322
6115404011041
714623451500
oct3451136401
91214226087
10480558337
11227298656
12114b30a81
1378738b5c
1447b74837
152c2c79c7
hex1ca4bd01

480558337 has 6 divisors (see below), whose sum is σ = 559016898. Its totient is φ = 411907104.

The previous prime is 480558301. The next prime is 480558347. The reversal of 480558337 is 733855084.

It can be written as a sum of positive squares in only one way, i.e., 434263921 + 46294416 = 20839^2 + 6804^2 .

It is not a de Polignac number, because 480558337 - 27 = 480558209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480558293 and 480558302.

It is not an unprimeable number, because it can be changed into a prime (480558347) 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 in 5 ways as a sum of consecutive naturals, for example, 4903608 + ... + 4903705.

It is an arithmetic number, because the mean of its divisors is an integer number (93169483).

Almost surely, 2480558337 is an apocalyptic number.

It is an amenable number.

480558337 is a deficient number, since it is larger than the sum of its proper divisors (78458561).

480558337 is an equidigital number, since it uses as much as digits as its factorization.

480558337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807327 (or 9807320 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 480558337 is about 21921.6408373096. The cubic root of 480558337 is about 783.2769960791.

The spelling of 480558337 in words is "four hundred eighty million, five hundred fifty-eight thousand, three hundred thirty-seven".

Divisors: 1 7 49 9807313 68651191 480558337