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5284259280 = 243257339249
BaseRepresentation
bin1001110101111011…
…10110010111010000
3111122021021011222200
410322331312113100
541310232244110
62232204003200
7244643314506
oct47275662720
914567234880
105284259280
112271910233
121035830500
13662a07b51
14381b38676
1520dda66c0
hex13af765d0

5284259280 has 60 divisors (see below), whose sum is σ = 17746306500. Its totient is φ = 1409135616.

The previous prime is 5284259237. The next prime is 5284259327. The reversal of 5284259280 is 829524825.

5284259280 is a `hidden beast` number, since 52 + 8 + 4 + 2 + 592 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1592967744 + 3691291536 = 39912^2 + 60756^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×52842592802 = 55846792276532236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3668905 + ... + 3670344.

It is an arithmetic number, because the mean of its divisors is an integer number (295771775).

Almost surely, 25284259280 is an apocalyptic number.

It is an amenable number.

5284259280 is an abundant number, since it is smaller than the sum of its proper divisors (12462047220).

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

5284259280 is a wasteful number, since it uses less digits than its factorization.

5284259280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339268 (or 7339259 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5284259280 is about 72692.9107960329. The cubic root of 5284259280 is about 1741.7856421196.

The spelling of 5284259280 in words is "five billion, two hundred eighty-four million, two hundred fifty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7339249 14678498 22017747 29356996 36696245 44035494 58713992 66053241 73392490 88070988 110088735 117427984 132106482 146784980 176141976 220177470 264212964 293569960 330266205 352283952 440354940 528425928 587139920 660532410 880709880 1056851856 1321064820 1761419760 2642129640 5284259280