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480984003 = 32311723957
BaseRepresentation
bin11100101010110…
…011101111000011
31020112001112000100
4130222303233003
51441112442003
6115421053443
714630203503
oct3452635703
91215045010
10480984003
11227559445
121150b7283
1378857826
1447c45a03
152c35dba3
hex1cab3bc3

480984003 has 12 divisors (see below), whose sum is σ = 717166528. Its totient is φ = 310312080.

The previous prime is 480984001. The next prime is 480984011. The reversal of 480984003 is 300489084.

It is not a de Polignac number, because 480984003 - 21 = 480984001 is a prime.

It is a super-3 number, since 3×4809840033 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861700 + ... + 862257.

Almost surely, 2480984003 is an apocalyptic number.

480984003 is a deficient number, since it is larger than the sum of its proper divisors (236182525).

480984003 is a wasteful number, since it uses less digits than its factorization.

480984003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723994 (or 1723991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480984003 is about 21931.3474962210. The cubic root of 480984003 is about 783.5081965844.

The spelling of 480984003 in words is "four hundred eighty million, nine hundred eighty-four thousand, three".

Divisors: 1 3 9 31 93 279 1723957 5171871 15515613 53442667 160328001 480984003