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853441825 = 5235819533
BaseRepresentation
bin110010110111100…
…111110100100001
32012110220100002111
4302313213310201
53221440114300
6220404115321
730102064405
oct6267476441
92173810074
10853441825
113a8822525
121b9995b41
13107a74a82
14814bb105
154edd19ba
hex32de7d21

853441825 has 12 divisors (see below), whose sum is σ = 1058674428. Its totient is φ = 682491200.

The previous prime is 853441817. The next prime is 853441843. The reversal of 853441825 is 528144358.

It can be written as a sum of positive squares in 6 ways, for example, as 8202496 + 845239329 = 2864^2 + 29073^2 .

It is not a de Polignac number, because 853441825 - 23 = 853441817 is a prime.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 84759 + ... + 94291.

It is an arithmetic number, because the mean of its divisors is an integer number (88222869).

Almost surely, 2853441825 is an apocalyptic number.

It is an amenable number.

853441825 is a deficient number, since it is larger than the sum of its proper divisors (205232603).

853441825 is a wasteful number, since it uses less digits than its factorization.

853441825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13119 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 853441825 is about 29213.7266537496. The cubic root of 853441825 is about 948.5450767109.

The spelling of 853441825 in words is "eight hundred fifty-three million, four hundred forty-one thousand, eight hundred twenty-five".

Divisors: 1 5 25 3581 9533 17905 47665 89525 238325 34137673 170688365 853441825