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5726416284 = 2233891274691
BaseRepresentation
bin1010101010101001…
…00010110110011100
3112210002021002101000
411111110202312130
543211430310114
62344120550300
7261622510131
oct52524426634
915702232330
105726416284
11247945a346
121139922390
137034b9a04
143c4754588
15237ae5e09
hex155522d9c

5726416284 has 96 divisors (see below), whose sum is σ = 15134515200. Its totient is φ = 1872097920.

The previous prime is 5726416229. The next prime is 5726416301. The reversal of 5726416284 is 4826146275.

5726416284 is a `hidden beast` number, since 572 + 64 + 16 + 2 + 8 + 4 = 666.

It is a super-3 number, since 3×57264162843 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 1218379 + ... + 1223069.

It is an arithmetic number, because the mean of its divisors is an integer number (157651200).

Almost surely, 25726416284 is an apocalyptic number.

5726416284 is a gapful number since it is divisible by the number (54) 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 5726416284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567257600).

5726416284 is an abundant number, since it is smaller than the sum of its proper divisors (9408098916).

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

5726416284 is a wasteful number, since it uses less digits than its factorization.

5726416284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4912 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5726416284 is about 75673.0882414614. The cubic root of 5726416284 is about 1789.0712579554.

The spelling of 5726416284 in words is "five billion, seven hundred twenty-six million, four hundred sixteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 127 178 254 267 356 381 508 534 762 801 1068 1143 1524 1602 2286 2403 3204 3429 4572 4691 4806 6858 9382 9612 11303 13716 14073 18764 22606 28146 33909 42219 45212 56292 67818 84438 101727 126657 135636 168876 203454 253314 305181 406908 417499 506628 595757 610362 834998 1191514 1220724 1252497 1669996 1787271 2383028 2504994 3574542 3757491 5009988 5361813 7149084 7514982 10723626 11272473 15029964 16085439 21447252 22544946 32170878 45089892 53022373 64341756 106044746 159067119 212089492 318134238 477201357 636268476 954402714 1431604071 1908805428 2863208142 5726416284