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5825305260 = 2232553610619
BaseRepresentation
bin1010110110011011…
…10001101010101100
3120000222100011112200
411123031301222230
543412234232020
62402012301500
7264233164155
oct53315615254
916028304480
105825305260
11251a262075
121166a71890
1371ab318b8
143d393692c
1524162b590
hex15b371aac

5825305260 has 72 divisors (see below), whose sum is σ = 18003520080. Its totient is φ = 1524102528.

The previous prime is 5825305253. The next prime is 5825305279. The reversal of 5825305260 is 625035285.

It is a happy number.

5825305260 is a `hidden beast` number, since 5 + 82 + 53 + 0 + 526 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295770 + ... + 314849.

It is an arithmetic number, because the mean of its divisors is an integer number (250048890).

Almost surely, 25825305260 is an apocalyptic number.

It is an amenable number.

5825305260 is an abundant number, since it is smaller than the sum of its proper divisors (12178214820).

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

5825305260 is a wasteful number, since it uses less digits than its factorization.

5825305260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610687 (or 610682 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5825305260 is about 76323.6874109211. The cubic root of 5825305260 is about 1799.3109770229.

The spelling of 5825305260 in words is "five billion, eight hundred twenty-five million, three hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 610619 1221238 1831857 2442476 3053095 3663714 5495571 6106190 7327428 9159285 10991142 12212380 18318570 21982284 27477855 32362807 36637140 54955710 64725614 97088421 109911420 129451228 161814035 194176842 291265263 323628070 388353684 485442105 582530526 647256140 970884210 1165061052 1456326315 1941768420 2912652630 5825305260