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482882432 = 2743591487
BaseRepresentation
bin11100110010000…
…011001110000000
31020122121222011112
4130302003032000
51442104214212
6115525502452
714652301334
oct3462031600
91218558145
10482882432
1122863579a
12115871a28
1379070966
14481bb7c4
152c5d6422
hex1cc83380

482882432 has 64 divisors (see below), whose sum is σ = 1001721600. Its totient is φ = 231673344.

The previous prime is 482882383. The next prime is 482882489. The reversal of 482882432 is 234288284.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 482882432.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 323993 + ... + 325479.

It is an arithmetic number, because the mean of its divisors is an integer number (15651900).

Almost surely, 2482882432 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 482882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

482882432 is an abundant number, since it is smaller than the sum of its proper divisors (518839168).

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

482882432 is a wasteful number, since it uses less digits than its factorization.

482882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1591 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The square root of 482882432 is about 21974.5860484333. The cubic root of 482882432 is about 784.5376708842.

The spelling of 482882432 in words is "four hundred eighty-two million, eight hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 128 172 236 344 472 688 944 1376 1487 1888 2537 2752 2974 3776 5074 5504 5948 7552 10148 11896 20296 23792 40592 47584 63941 81184 87733 95168 127882 162368 175466 190336 255764 324736 350932 511528 701864 1023056 1403728 2046112 2807456 3772519 4092224 5614912 7545038 8184448 11229824 15090076 30180152 60360304 120720608 241441216 482882432