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4803920928 = 2532177313441
BaseRepresentation
bin1000111100101011…
…00000010000100000
3110101210102110122100
410132111200100200
534314300432203
62112404410400
7230021440242
oct43625402040
913353373570
104803920928
112045762994
12b209a6a00
135b7348181
14338020092
151d1b23ea3
hex11e560420

4803920928 has 144 divisors (see below), whose sum is σ = 14663985336. Its totient is φ = 1486356480.

The previous prime is 4803920903. The next prime is 4803920941. The reversal of 4803920928 is 8290293084.

It can be written as a sum of positive squares in 4 ways, for example, as 4028187024 + 775733904 = 63468^2 + 27852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 350688 + ... + 364128.

Almost surely, 24803920928 is an apocalyptic number.

4803920928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4803920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331992668).

4803920928 is an abundant number, since it is smaller than the sum of its proper divisors (9860064408).

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

4803920928 is a wasteful number, since it uses less digits than its factorization.

4803920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13547 (or 13536 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4803920928 is about 69310.3233869241. The cubic root of 4803920928 is about 1687.3245165340.

The spelling of 4803920928 in words is "four billion, eight hundred three million, nine hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3504 3723 4896 4964 5256 7008 7446 9928 10512 11169 13441 14892 19856 21024 22338 26882 29784 39712 40323 44676 53764 59568 80646 89352 107528 119136 120969 161292 178704 215056 228497 241938 322584 357408 430112 456994 483876 645168 685491 913988 967752 981193 1290336 1370982 1827976 1935504 1962386 2056473 2741964 2943579 3655952 3871008 3924772 4112946 5483928 5887158 7311904 7849544 8225892 8830737 10967856 11774316 15699088 16451784 16680281 17661474 21935712 23548632 31398176 32903568 33360562 35322948 47097264 50040843 65807136 66721124 70645896 94194528 100081686 133442248 141291792 150122529 200163372 266884496 282583584 300245058 400326744 533768992 600490116 800653488 1200980232 1601306976 2401960464 4803920928