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480911628 = 223831732791
BaseRepresentation
bin11100101010100…
…010000100001100
31020111220211201210
4130222202010030
51441103133003
6115415334420
714626452501
oct3452420414
91214824653
10480911628
1122750a02a
12115081410
13788308c2
1447c274a8
152c347503
hex1caa210c

480911628 has 48 divisors (see below), whose sum is σ = 1142620416. Its totient is φ = 157400640.

The previous prime is 480911609. The next prime is 480911633. The reversal of 480911628 is 826119084.

It is a super-3 number, since 3×4809116283 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 170913 + ... + 173703.

It is an arithmetic number, because the mean of its divisors is an integer number (23804592).

Almost surely, 2480911628 is an apocalyptic number.

It is an amenable number.

480911628 is an abundant number, since it is smaller than the sum of its proper divisors (661708788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480911628 is a wasteful number, since it uses less digits than its factorization.

480911628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 480911628 is about 21929.6973987331. The cubic root of 480911628 is about 783.4688957276.

The spelling of 480911628 in words is "four hundred eighty million, nine hundred eleven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 83 166 173 249 332 346 498 519 692 996 1038 2076 2791 5582 8373 11164 14359 16746 28718 33492 43077 57436 86154 172308 231653 463306 482843 694959 926612 965686 1389918 1448529 1931372 2779836 2897058 5794116 40075969 80151938 120227907 160303876 240455814 480911628