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825903845 = 51326191579
BaseRepresentation
bin110001001110100…
…100101011100101
32010120002021002022
4301032210223211
53142412410340
6213541552525
726316031634
oct6116445345
92116067068
10825903845
11394223868
121b0715745
13102152600
147b98d51b
154c7923b5
hex313a4ae5

825903845 has 24 divisors (see below), whose sum is σ = 1075600800. Its totient is φ = 608527296.

The previous prime is 825903839. The next prime is 825903851. The reversal of 825903845 is 548309528.

825903845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (825903839) and next prime (825903851).

It is not a de Polignac number, because 825903845 - 210 = 825902821 is a prime.

It is a super-2 number, since 2×8259038452 = 1364234322371568050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825903796 and 825903805.

It is a congruent number.

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, 522266 + ... + 523844.

It is an arithmetic number, because the mean of its divisors is an integer number (44816700).

Almost surely, 2825903845 is an apocalyptic number.

It is an amenable number.

825903845 is a deficient number, since it is larger than the sum of its proper divisors (249696955).

825903845 is a wasteful number, since it uses less digits than its factorization.

825903845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 825903845 is about 28738.5428475419. The cubic root of 825903845 is about 938.2311101690.

The spelling of 825903845 in words is "eight hundred twenty-five million, nine hundred three thousand, eight hundred forty-five".

Divisors: 1 5 13 65 169 619 845 1579 3095 7895 8047 20527 40235 102635 104611 266851 523055 977401 1334255 4887005 12706213 63531065 165180769 825903845