Search a number
-
+
5287259484 = 223213157227317
BaseRepresentation
bin1001110110010010…
…10010110101011100
3111122110220121111100
410323021102311130
541312014300414
62232352153100
7245010651453
oct47311226534
914573817440
105287259484
11227357a341
121036838790
13663518610
143822b9b9a
1520e29a609
hex13b252d5c

5287259484 has 144 divisors (see below), whose sum is σ = 14594475168. Its totient is φ = 1604289024.

The previous prime is 5287259479. The next prime is 5287259503. The reversal of 5287259484 is 4849527825.

5287259484 is a `hidden beast` number, since 528 + 7 + 25 + 94 + 8 + 4 = 666.

It is a super-2 number, since 2×52872594842 = 55910225702295892512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5287259484.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16678894 + ... + 16679210.

It is an arithmetic number, because the mean of its divisors is an integer number (101350522).

Almost surely, 25287259484 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 5287259484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297237584).

5287259484 is an abundant number, since it is smaller than the sum of its proper divisors (9307215684).

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

5287259484 is a wasteful number, since it uses less digits than its factorization.

5287259484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 5287259484 is about 72713.5440203543. The cubic root of 5287259484 is about 1742.1152199152.

The spelling of 5287259484 in words is "five billion, two hundred eighty-seven million, two hundred fifty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 227 234 314 317 454 468 471 628 634 681 908 942 951 1268 1362 1413 1884 1902 2041 2043 2724 2826 2853 2951 3804 4082 4086 4121 5652 5706 5902 6123 8164 8172 8242 8853 11412 11804 12246 12363 16484 17706 18369 24492 24726 26559 35412 35639 36738 37089 49452 49769 53118 71278 71959 73476 74178 99538 106236 106917 142556 143918 148356 149307 199076 213834 215877 287836 298614 320751 427668 431754 447921 463307 597228 641502 646997 647631 863508 895842 926614 935467 1283004 1293994 1295262 1389921 1791684 1853228 1870934 1940991 2587988 2590524 2779842 2806401 3741868 3881982 4169763 5559684 5612802 5822973 7763964 8339526 8419203 11225604 11297563 11645946 16679052 16838406 22595126 23291892 33676812 33892689 45190252 67785378 101678067 135570756 146868319 203356134 293736638 406712268 440604957 587473276 881209914 1321814871 1762419828 2643629742 5287259484