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4820706480 = 2435229239367
BaseRepresentation
bin1000111110101011…
…00010010010110000
3110102222000021002110
410133111202102300
534333100101410
62114204245320
7230314220562
oct43725422260
913388007073
104820706480
112054188147
12b26540840
135ba974455
1433a34d332
151d333c720
hex11f5624b0

4820706480 has 160 divisors (see below), whose sum is σ = 15113318400. Its totient is φ = 1271079936.

The previous prime is 4820706463. The next prime is 4820706493. The reversal of 4820706480 is 846070284.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13135257 + ... + 13135623.

It is an arithmetic number, because the mean of its divisors is an integer number (94458240).

Almost surely, 24820706480 is an apocalyptic number.

4820706480 is a gapful number since it is divisible by the number (40) 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 4820706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556659200).

4820706480 is an abundant number, since it is smaller than the sum of its proper divisors (10292611920).

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

4820706480 is a wasteful number, since it uses less digits than its factorization.

4820706480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4820706480 is about 69431.3076356769. The cubic root of 4820706480 is about 1689.2874790090.

The spelling of 4820706480 in words is "four billion, eight hundred twenty million, seven hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 239 240 367 458 478 687 717 734 916 956 1101 1145 1195 1374 1434 1468 1832 1835 1912 2202 2290 2390 2748 2868 2936 3435 3585 3664 3670 3824 4404 4580 4780 5496 5505 5736 5872 6870 7170 7340 8808 9160 9560 10992 11010 11472 13740 14340 14680 17616 18320 19120 22020 27480 28680 29360 44040 54731 54960 57360 84043 87713 88080 109462 164193 168086 175426 218924 252129 263139 273655 328386 336172 350852 420215 437848 438565 504258 526278 547310 656772 672344 701704 820965 840430 875696 877130 1008516 1052556 1094620 1260645 1313544 1315695 1344688 1403408 1641930 1680860 1754260 2017032 2105112 2189240 2521290 2627088 2631390 3283860 3361720 3508520 4034064 4210224 4378480 5042580 5262780 6567720 6723440 7017040 10085160 10525560 13135440 20086277 20170320 21051120 40172554 60258831 80345108 100431385 120517662 160690216 200862770 241035324 301294155 321380432 401725540 482070648 602588310 803451080 964141296 1205176620 1606902160 2410353240 4820706480