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5285258880 = 2735111913171
BaseRepresentation
bin1001110110000011…
…01010011010000000
3111122100010222011220
410323001222122000
541311011241010
62232241235040
7244654650006
oct47301523200
914570128156
105285258880
112272433250
121036032a80
13662c97b25
14381d18a76
1520e002970
hex13b06a680

5285258880 has 256 divisors, whose sum is σ = 19347033600. Its totient is φ = 1213747200.

The previous prime is 5285258837. The next prime is 5285258893. The reversal of 5285258880 is 888525825.

It is a super-2 number, since 2×52852588802 = 55867922857237708800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 394695 + ... + 407865.

It is an arithmetic number, because the mean of its divisors is an integer number (75574350).

Almost surely, 25285258880 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 5285258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673516800).

5285258880 is an abundant number, since it is smaller than the sum of its proper divisors (14061774720).

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

5285258880 is a wasteful number, since it uses less digits than its factorization.

5285258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 51.

The square root of 5285258880 is about 72699.7859694236. The cubic root of 5285258880 is about 1741.8954638286.

The spelling of 5285258880 in words is "five billion, two hundred eighty-five million, two hundred fifty-eight thousand, eight hundred eighty".