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5753825520 = 2435182313151
BaseRepresentation
bin1010101101111010…
…00110100011110000
3112211222211121202220
411112331012203300
543240434404040
62350540241040
7262404465342
oct52675064360
915758747686
105753825520
112492980303
121146b40180
137090956b1
143c824b292
1523a20c2d0
hex156f468f0

5753825520 has 80 divisors (see below), whose sum is σ = 17848000512. Its totient is φ = 1533395200.

The previous prime is 5753825513. The next prime is 5753825557. The reversal of 5753825520 is 255283575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57538255202 = 66213016229206540800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430945 + ... + 444095.

Almost surely, 25753825520 is an apocalyptic number.

It is an amenable number.

5753825520 is an abundant number, since it is smaller than the sum of its proper divisors (12094174992).

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

5753825520 is a wasteful number, since it uses less digits than its factorization.

5753825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14990 (or 14984 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The square root of 5753825520 is about 75853.9749782436. The cubic root of 5753825520 is about 1791.9211523955.

The spelling of 5753825520 in words is "five billion, seven hundred fifty-three million, eight hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1823 3646 5469 7292 9115 10938 13151 14584 18230 21876 26302 27345 29168 36460 39453 43752 52604 54690 65755 72920 78906 87504 105208 109380 131510 145840 157812 197265 210416 218760 263020 315624 394530 437520 526040 631248 789060 1052080 1578120 3156240 23974273 47948546 71922819 95897092 119871365 143845638 191794184 239742730 287691276 359614095 383588368 479485460 575382552 719228190 958970920 1150765104 1438456380 1917941840 2876912760 5753825520