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4803946428 = 22317223229263
BaseRepresentation
bin1000111100101011…
…00110011110111100
3110101210110202121210
410132111212132330
534314302241203
62112405124420
7230021604501
oct43625463674
913353422553
104803946428
112045780066
12b209b9710
135b7356968
143380294a8
151d1b2b803
hex11e5667bc

4803946428 has 144 divisors (see below), whose sum is σ = 12526778880. Its totient is φ = 1429840896.

The previous prime is 4803946409. The next prime is 4803946429. The reversal of 4803946428 is 8246493084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4803946429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18265825 + ... + 18266087.

It is an arithmetic number, because the mean of its divisors is an integer number (86991520).

Almost surely, 24803946428 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 4803946428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263389440).

4803946428 is an abundant number, since it is smaller than the sum of its proper divisors (7722832452).

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

4803946428 is a wasteful number, since it uses less digits than its factorization.

4803946428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 4803946428 is about 69310.5073419608. The cubic root of 4803946428 is about 1687.3275020604.

The spelling of 4803946428 in words is "four billion, eight hundred three million, nine hundred forty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 229 263 276 289 391 458 526 578 687 782 789 867 916 1052 1156 1173 1374 1564 1578 1734 2346 2748 3156 3468 3893 4471 4692 5267 6049 6647 7786 8942 10534 11679 12098 13294 13413 15572 15801 17884 18147 19941 21068 23358 24196 26588 26826 31602 36294 39882 46716 53652 60227 63204 66181 72588 76007 79764 89539 102833 120454 132362 152014 179078 180681 198543 205666 228021 240908 264724 268617 304028 308499 358156 361362 397086 411332 456042 537234 616998 722724 794172 912084 1023859 1074468 1233996 1385221 1522163 1748161 2047718 2770442 3044326 3071577 3496322 4095436 4155663 4566489 5244483 5540884 6088652 6143154 6992644 8311326 9132978 10488966 12286308 16622652 17405603 18265956 20977932 23548757 34811206 47097514 52216809 69622412 70646271 94195028 104433618 141292542 208867236 282585084 400328869 800657738 1200986607 1601315476 2401973214 4803946428