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5281827320 = 23571110116979
BaseRepresentation
bin1001110101101001…
…00100100111111000
3111122002200121222002
410322310210213320
541304121433240
62232035520132
7244613535320
oct47264444770
914562617862
105281827320
1122704aa050
121034a59048
13662365c13
143816a4280
1520da75d15
hex13ad249f8

5281827320 has 128 divisors (see below), whose sum is σ = 14964134400. Its totient is φ = 1629888000.

The previous prime is 5281827319. The next prime is 5281827329. The reversal of 5281827320 is 237281825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281827329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302591 + ... + 319569.

It is an arithmetic number, because the mean of its divisors is an integer number (116907300).

Almost surely, 25281827320 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 5281827320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482067200).

5281827320 is an abundant number, since it is smaller than the sum of its proper divisors (9682307080).

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

5281827320 is a wasteful number, since it uses less digits than its factorization.

5281827320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17109 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 5281827320 is about 72676.1812425502. The cubic root of 5281827320 is about 1741.5183953914.

The spelling of 5281827320 in words is "five billion, two hundred eighty-one million, eight hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7777 8888 11110 14140 15554 16979 22220 28280 31108 33958 38885 44440 62216 67916 77770 84895 118853 135832 155540 169790 186769 237706 311080 339580 373538 475412 594265 679160 747076 933845 950824 1188530 1307383 1494152 1714879 1867690 2377060 2614766 3429758 3735380 4754120 5229532 6536915 6859516 7470760 8574395 10459064 12004153 13073830 13719032 17148790 18863669 24008306 26147660 34297580 37727338 48016612 52295320 60020765 68595160 75454676 94318345 96033224 120041530 132045683 150909352 188636690 240083060 264091366 377273380 480166120 528182732 660228415 754546760 1056365464 1320456830 2640913660 5281827320