Search a number
-
+
8079852544 = 210534
BaseRepresentation
bin1111000011001100…
…01100010000000000
3202212002200000222221
413201212030100000
5113021420240134
63413431140424
7404140420261
oct74146142000
922762600887
108079852544
113476958895
121695b14714
139b9c5134a
14569132968
153245205b4
hex1e198c400

8079852544 has 55 divisors (see below), whose sum is σ = 16462426387. Its totient is φ = 3963701248.

The previous prime is 8079852523. The next prime is 8079852577. The reversal of 8079852544 is 4452589708.

The square root of 8079852544 is 89888.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1577042944 + 6502809600 = 39712^2 + 80640^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=212.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8079852491 and 8079852500.

It is an unprimeable number.

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 4 ways as a sum of consecutive naturals, for example, 152450022 + ... + 152450074.

Almost surely, 28079852544 is an apocalyptic number.

8079852544 is the 89888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8079852544

8079852544 is an abundant number, since it is smaller than the sum of its proper divisors (8382573843).

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

8079852544 is an frugal number, since it uses more digits than its factorization.

8079852544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The cubic root of 8079852544 is about 2006.6323602533.

The spelling of 8079852544 in words is "eight billion, seventy-nine million, eight hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2809 3392 5618 6784 11236 13568 22472 27136 44944 54272 89888 148877 179776 297754 359552 595508 719104 1191016 1438208 2382032 2876416 4764064 7890481 9528128 15780962 19056256 31561924 38112512 63123848 76225024 126247696 152450048 252495392 504990784 1009981568 2019963136 4039926272 8079852544