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5083459360 = 25573124723
BaseRepresentation
bin1001011101111111…
…10110111100100000
3111010021102111021121
410232333312330200
540402331144420
62200232102024
7236654456140
oct45677667440
914107374247
105083459360
112179531291
12b9a534914
13630230725
143631c8920
151eb4402aa
hex12eff6f20

5083459360 has 144 divisors (see below), whose sum is σ = 14185378368. Its totient is φ = 1686320640.

The previous prime is 5083459319. The next prime is 5083459361. The reversal of 5083459360 is 639543805.

It is not an unprimeable number, because it can be changed into a prime (5083459361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073959 + ... + 1078681.

It is an arithmetic number, because the mean of its divisors is an integer number (98509572).

Almost surely, 25083459360 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 5083459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092689184).

5083459360 is an abundant number, since it is smaller than the sum of its proper divisors (9101919008).

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

5083459360 is a wasteful number, since it uses less digits than its factorization.

5083459360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 5083459360 is about 71298.3825903505. The cubic root of 5083459360 is about 1719.4377285975.

The spelling of 5083459360 in words is "five billion, eighty-three million, four hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 961 992 1085 1120 1240 1736 1922 2170 2480 3472 3844 4340 4723 4805 4960 6727 6944 7688 8680 9446 9610 13454 15376 17360 18892 19220 23615 26908 30752 33061 33635 34720 37784 38440 47230 53816 66122 67270 75568 76880 94460 107632 132244 134540 146413 151136 153760 165305 188920 215264 264488 269080 292826 330610 377840 528976 538160 585652 661220 732065 755680 1024891 1057952 1076320 1171304 1322440 1464130 2049782 2342608 2644880 2928260 4099564 4538803 4685216 5124455 5289760 5856520 8199128 9077606 10248910 11713040 16398256 18155212 20497820 22694015 23426080 31771621 32796512 36310424 40995640 45388030 63543242 72620848 81991280 90776060 127086484 145241696 158858105 163982560 181552120 254172968 317716210 363104240 508345936 635432420 726208480 1016691872 1270864840 2541729680 5083459360