Search a number
-
+
5824092480 = 263543314011
BaseRepresentation
bin1010110110010010…
…01001100101000000
3120000220001112220220
411123021021211000
543411431424410
62401530303040
7264216653313
oct53311114500
916026045826
105824092480
112519603978
121166587a80
1371a7c888b
143d36dc97a
1524148c070
hex15b249940

5824092480 has 112 divisors (see below), whose sum is σ = 18535521984. Its totient is φ = 1549393920.

The previous prime is 5824092479. The next prime is 5824092569. The reversal of 5824092480 is 842904285.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408675 + ... + 422685.

It is an arithmetic number, because the mean of its divisors is an integer number (165495732).

Almost surely, 25824092480 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 5824092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267760992).

5824092480 is an abundant number, since it is smaller than the sum of its proper divisors (12711429504).

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

5824092480 is a wasteful number, since it uses less digits than its factorization.

5824092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14464 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 5824092480 is about 76315.7420195860. The cubic root of 5824092480 is about 1799.1861011739.

The spelling of 5824092480 in words is "five billion, eight hundred twenty-four million, ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 433 480 866 960 1299 1732 2165 2598 3464 4330 5196 6495 6928 8660 10392 12990 13856 14011 17320 20784 25980 27712 28022 34640 41568 42033 51960 56044 69280 70055 83136 84066 103920 112088 138560 140110 168132 207840 210165 224176 280220 336264 415680 420330 448352 560440 672528 840660 896704 1120880 1345056 1681320 2241760 2690112 3362640 4483520 6066763 6725280 12133526 13450560 18200289 24267052 30333815 36400578 48534104 60667630 72801156 91001445 97068208 121335260 145602312 182002890 194136416 242670520 291204624 364005780 388272832 485341040 582409248 728011560 970682080 1164818496 1456023120 1941364160 2912046240 5824092480