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5288759296 = 21217151503
BaseRepresentation
bin1001110110011110…
…00001000000000000
3111122120201210211221
410323033001000000
541312410244141
62232444244424
7245026466212
oct47317010000
914576653757
105288759296
112274404157
121037240714
13663922192
1438258a5b2
1520e494bd1
hex13b3c1000

5288759296 has 104 divisors (see below), whose sum is σ = 11294930304. Its totient is φ = 2467430400.

The previous prime is 5288759291. The next prime is 5288759323. The reversal of 5288759296 is 6929578825.

It is not an unprimeable number, because it can be changed into a prime (5288759291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10514181 + ... + 10514683.

Almost surely, 25288759296 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 5288759296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647465152).

5288759296 is an abundant number, since it is smaller than the sum of its proper divisors (6006171008).

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

5288759296 is a wasteful number, since it uses less digits than its factorization.

5288759296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 673 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 61.

The square root of 5288759296 is about 72723.8564433983. The cubic root of 5288759296 is about 1742.2799302156.

The spelling of 5288759296 in words is "five billion, two hundred eighty-eight million, seven hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 256 272 302 503 512 544 604 1006 1024 1088 1208 2012 2048 2176 2416 2567 4024 4096 4352 4832 5134 8048 8551 8704 9664 10268 16096 17102 17408 19328 20536 32192 34204 34816 38656 41072 64384 68408 69632 75953 77312 82144 128768 136816 151906 154624 164288 257536 273632 303812 309248 328576 515072 547264 607624 618496 657152 1030144 1094528 1215248 1291201 1314304 2060288 2189056 2430496 2582402 2628608 4378112 4860992 5164804 5257216 8756224 9721984 10329608 10514432 17512448 19443968 20659216 35024896 38887936 41318432 77775872 82636864 155551744 165273728 311103488 330547456 661094912 1322189824 2644379648 5288759296