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806131471 = 31671932011
BaseRepresentation
bin110000000011001…
…001011100001111
32002011212201111011
4300003021130033
53122332201341
6211554110051
725656001345
oct6003113417
92064781434
10806131471
11384049562
121a5b7b327
13cb01b992
14790c3995
154ab88b81
hex300c970f

806131471 has 16 divisors (see below), whose sum is σ = 849353728. Its totient is φ = 764121600.

The previous prime is 806131453. The next prime is 806131489. The reversal of 806131471 is 174131608.

It is an interprime number because it is at equal distance from previous prime (806131453) and next prime (806131489).

It is not a de Polignac number, because 806131471 - 27 = 806131343 is a prime.

It is a super-3 number, since 3×8061314713 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399856 + ... + 401866.

It is an arithmetic number, because the mean of its divisors is an integer number (53084608).

Almost surely, 2806131471 is an apocalyptic number.

806131471 is a deficient number, since it is larger than the sum of its proper divisors (43222257).

806131471 is a wasteful number, since it uses less digits than its factorization.

806131471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 806131471 is about 28392.4544729757. The cubic root of 806131471 is about 930.6833806319.

The spelling of 806131471 in words is "eight hundred six million, one hundred thirty-one thousand, four hundred seventy-one".

Divisors: 1 31 67 193 2011 2077 5983 12931 62341 134737 388123 400861 4176847 12031813 26004241 806131471