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5280347556 = 22341123672
BaseRepresentation
bin1001110101011101…
…11011010110100100
3111121222220110010000
410322232323112210
541303232110211
62231544101300
7244565133201
oct47256732644
914558813100
105280347556
11226a689300
121034464830
13661c68513
143813daca8
1520d882656
hex13abbb5a4

5280347556 has 135 divisors (see below), whose sum is σ = 15214306107. Its totient is φ = 1595745360.

The previous prime is 5280347537. The next prime is 5280347593. The reversal of 5280347556 is 6557430825.

The square root of 5280347556 is 72666.

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

5280347556 is a `hidden beast` number, since 52 + 8 + 0 + 3 + 47 + 556 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14387685 + ... + 14388051.

Almost surely, 25280347556 is an apocalyptic number.

5280347556 is the 72666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5280347556

5280347556 is an abundant number, since it is smaller than the sum of its proper divisors (9933958551).

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

5280347556 is a wasteful number, since it uses less digits than its factorization.

5280347556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The cubic root of 5280347556 is about 1741.3557448054.

It can be divided in two parts, 5280 and 347556, that added together give a square (352836 = 5942).

The spelling of 5280347556 in words is "five billion, two hundred eighty million, three hundred forty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 367 396 484 594 726 734 891 1089 1101 1188 1452 1468 1782 2178 2202 3267 3303 3564 4037 4356 4404 6534 6606 8074 9801 9909 12111 13068 13212 16148 19602 19818 24222 29727 36333 39204 39636 44407 48444 59454 72666 88814 108999 118908 133221 134689 145332 177628 217998 266442 269378 326997 399663 404067 435996 532884 538756 653994 799326 808134 1198989 1212201 1307988 1481579 1598652 1616268 2397978 2424402 2963158 3596967 3636603 4444737 4795956 4848804 5926316 7193934 7273206 8889474 10909809 13334211 14387868 14546412 16297369 17778948 21819618 26668422 32594738 40002633 43639236 48892107 53336844 65189476 80005266 97784214 120007899 146676321 160010532 195568428 240015798 293352642 440028963 480031596 586705284 880057926 1320086889 1760115852 2640173778 5280347556