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5287616656 = 2476532
BaseRepresentation
bin1001110110010101…
…01010000010010000
3111122111120202102221
410323022222002100
541312112213111
62232403550424
7245014000000
oct47312520220
914574522387
105287616656
1122737a3723
12103698b414
1366361206a
14382370000
1520e31b371
hex13b2aa090

5287616656 has 105 divisors (see below), whose sum is σ = 12181970521. Its totient is φ = 2223364416.

The previous prime is 5287616651. The next prime is 5287616693. The reversal of 5287616656 is 6566167825.

The square root of 5287616656 is 72716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3811827600 + 1475789056 = 61740^2 + 38416^2 .

It is not an unprimeable number, because it can be changed into a prime (5287616651) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 99766326 + ... + 99766378.

Almost surely, 25287616656 is an apocalyptic number.

5287616656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5287616656 is the 72716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5287616656

5287616656 is an abundant number, since it is smaller than the sum of its proper divisors (6894353865).

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

5287616656 is an frugal number, since it uses more digits than its factorization.

5287616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 62 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The cubic root of 5287616656 is about 1742.1544475950.

The spelling of 5287616656 in words is "five billion, two hundred eighty-seven million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 343 371 392 424 686 742 784 848 1372 1484 2401 2597 2744 2809 2968 4802 5194 5488 5618 5936 9604 10388 11236 16807 18179 19208 19663 20776 22472 33614 36358 38416 39326 41552 44944 67228 72716 78652 117649 127253 134456 137641 145432 157304 235298 254506 268912 275282 290864 314608 470596 509012 550564 890771 941192 963487 1018024 1101128 1781542 1882384 1926974 2036048 2202256 3563084 3853948 6235397 6744409 7126168 7707896 12470794 13488818 14252336 15415792 24941588 26977636 47210863 49883176 53955272 94421726 99766352 107910544 188843452 330476041 377686904 660952082 755373808 1321904164 2643808328 5287616656