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5286215760 = 243575359369
BaseRepresentation
bin1001110110001010…
…10100000001010000
3111122101221120202220
410323011110001100
541311232401020
62232313541040
7244666043520
oct47305240120
914571846686
105286215760
112272a27161
121036414780
13663241527
143820c7680
1520e141240
hex13b154050

5286215760 has 160 divisors (see below), whose sum is σ = 19081992960. Its totient is φ = 1185460224.

The previous prime is 5286215723. The next prime is 5286215761. The reversal of 5286215760 is 675126825.

It is a super-2 number, since 2×52862157602 = 55888154122544755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286215761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59356 + ... + 118724.

It is an arithmetic number, because the mean of its divisors is an integer number (119262456).

Almost surely, 25286215760 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 5286215760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9540996480).

5286215760 is an abundant number, since it is smaller than the sum of its proper divisors (13795777200).

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

5286215760 is a wasteful number, since it uses less digits than its factorization.

5286215760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59445 (or 59439 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5286215760 is about 72706.3667088378. The cubic root of 5286215760 is about 1742.0005791055. Note that the first 3 decimals are identical.

The spelling of 5286215760 in words is "five billion, two hundred eighty-six million, two hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 4240 4452 5565 5936 6360 7420 8904 11130 12720 14840 17808 22260 29680 44520 59369 89040 118738 178107 237476 296845 356214 415583 474952 593690 712428 831166 890535 949904 1187380 1246749 1424856 1662332 1781070 2077915 2374760 2493498 2849712 3146557 3324664 3562140 4155830 4749520 4986996 6233745 6293114 6649328 7124280 8311660 9439671 9973992 12467490 12586228 14248560 15732785 16623320 18879342 19947984 22025899 24934980 25172456 31465570 33246640 37758684 44051798 47198355 49869960 50344912 62931140 66077697 75517368 88103596 94396710 99739920 110129495 125862280 132155394 151034736 176207192 188793420 220258990 251724560 264310788 330388485 352414384 377586840 440517980 528621576 660776970 755173680 881035960 1057243152 1321553940 1762071920 2643107880 5286215760