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480604959 = 32234122811
BaseRepresentation
bin11100101001010…
…111001100011111
31020111100021001200
4130221113030133
51441013324314
6115405010543
714624034432
oct3451271437
91214307050
10480604959
1122731a68a
12114b53a53
1378754143
1447b87819
152c2d6709
hex1ca5731f

480604959 has 12 divisors (see below), whose sum is σ = 694534152. Its totient is φ = 320252400.

The previous prime is 480604919. The next prime is 480604961. The reversal of 480604959 is 959406084.

It is a happy number.

It is not a de Polignac number, because 480604959 - 29 = 480604447 is a prime.

It is a super-3 number, since 3×4806049593 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480604919) 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, 9664 + ... + 32474.

It is an arithmetic number, because the mean of its divisors is an integer number (57877846).

Almost surely, 2480604959 is an apocalyptic number.

480604959 is a deficient number, since it is larger than the sum of its proper divisors (213929193).

480604959 is a wasteful number, since it uses less digits than its factorization.

480604959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25158 (or 25155 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 480604959 is about 21922.7041899488. The cubic root of 480604959 is about 783.3023254765.

The spelling of 480604959 in words is "four hundred eighty million, six hundred four thousand, nine hundred fifty-nine".

Divisors: 1 3 9 2341 7023 21069 22811 68433 205299 53400551 160201653 480604959