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853209841 = 11229243149
BaseRepresentation
bin110010110110101…
…111001011110001
32012110110112212111
4302312233023301
53221410203331
6220355125321
730100110151
oct6266571361
92173415774
10853209841
113a8684200
121b98a3841
131079c32c3
148145a761
154ed87db1
hex32daf2f1

853209841 has 12 divisors (see below), whose sum is σ = 970168500. Its totient is φ = 748895840.

The previous prime is 853209781. The next prime is 853209893. The reversal of 853209841 is 148902358.

It can be written as a sum of positive squares in 2 ways, for example, as 723341025 + 129868816 = 26895^2 + 11396^2 .

It is not a de Polignac number, because 853209841 - 213 = 853201649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 853209794 and 853209803.

It is not an unprimeable number, because it can be changed into a prime (853209641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118066 + ... + 125083.

It is an arithmetic number, because the mean of its divisors is an integer number (80847375).

Almost surely, 2853209841 is an apocalyptic number.

It is an amenable number.

853209841 is a deficient number, since it is larger than the sum of its proper divisors (116958659).

853209841 is a wasteful number, since it uses less digits than its factorization.

853209841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243200 (or 243189 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 853209841 is about 29209.7559216095. The cubic root of 853209841 is about 948.4591238802.

The spelling of 853209841 in words is "eight hundred fifty-three million, two hundred nine thousand, eight hundred forty-one".

Divisors: 1 11 29 121 319 3509 243149 2674639 7051321 29421029 77564531 853209841