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5648875281 = 347211932
BaseRepresentation
bin1010100001011001…
…01111111100010001
3112120200100121010000
411100230233330101
543032103002111
62332311000213
7256661435100
oct52054577421
915520317100
105648875281
112439708675
121117969069
136c040a96a
143b832c037
15230dcac56
hex150b2ff11

5648875281 has 45 divisors (see below), whose sum is σ = 9824383371. Its totient is φ = 3225223008.

The previous prime is 5648875231. The next prime is 5648875283. The reversal of 5648875281 is 1825788465.

The square root of 5648875281 is 75159.

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

5648875281 is a `hidden beast` number, since 564 + 8 + 8 + 75 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2901438225 + 2747437056 = 53865^2 + 52416^2 .

It is not a de Polignac number, because 5648875281 - 27 = 5648875153 is a prime.

It is a super-2 number, since 2×56488752812 = 63819583880585657922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5648875283) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 4734421 + ... + 4735613.

Almost surely, 25648875281 is an apocalyptic number.

5648875281 is the 75159-th square number.

5648875281 is the 37580-th centered octagonal number.

It is an amenable number.

5648875281 is a deficient number, since it is larger than the sum of its proper divisors (4175508090).

5648875281 is an frugal number, since it uses more digits than its factorization.

5648875281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 1203 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The cubic root of 5648875281 is about 1780.9593028992.

It can be divided in two parts, 56488 and 75281, that added together give a square (131769 = 3632).

The spelling of 5648875281 in words is "five billion, six hundred forty-eight million, eight hundred seventy-five thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1193 1323 3579 3969 8351 10737 25053 32211 58457 75159 96633 175371 225477 526113 676431 1423249 1578339 4269747 4735017 9962743 12809241 29888229 38427723 69739201 89664687 115283169 209217603 268994061 627652809 806982183 1882958427 5648875281