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482821328 = 241124111383
BaseRepresentation
bin11100110001110…
…100010011010000
31020122111212100102
4130301310103100
51442100240303
6115524311532
714651625233
oct3461642320
91218455312
10482821328
112285a38a0
121158425a8
137904bbc2
14481a341a
152c5c3288
hex1cc744d0

482821328 has 40 divisors (see below), whose sum is σ = 1024833216. Its totient is φ = 218534400.

The previous prime is 482821303. The next prime is 482821337. The reversal of 482821328 is 823128284.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 482821291 and 482821300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36725 + ... + 48107.

Almost surely, 2482821328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482821328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512416608).

482821328 is an abundant number, since it is smaller than the sum of its proper divisors (542011888).

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

482821328 is a wasteful number, since it uses less digits than its factorization.

482821328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11637 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 482821328 is about 21973.1956710898. The cubic root of 482821328 is about 784.5045776584.

The spelling of 482821328 in words is "four hundred eighty-two million, eight hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 241 482 964 1928 2651 3856 5302 10604 11383 21208 22766 42416 45532 91064 125213 182128 250426 500852 1001704 2003408 2743303 5486606 10973212 21946424 30176333 43892848 60352666 120705332 241410664 482821328