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803829 = 31320611
BaseRepresentation
bin11000100001111110101
31111211122110
43010033311
5201210304
625121233
76555345
oct3041765
91454573
10803829
114a9a24
12329219
13221b50
1416cd25
1510d289
hexc43f5

803829 has 8 divisors (see below), whose sum is σ = 1154272. Its totient is φ = 494640.

The previous prime is 803819. The next prime is 803849. The reversal of 803829 is 928308.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 803829 - 24 = 803813 is a prime.

It is a super-2 number, since 2×8038292 = 1292282122482, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

803829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 803796 and 803805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10267 + ... + 10344.

It is an arithmetic number, because the mean of its divisors is an integer number (144284).

2803829 is an apocalyptic number.

It is an amenable number.

803829 is a deficient number, since it is larger than the sum of its proper divisors (350443).

803829 is a wasteful number, since it uses less digits than its factorization.

803829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20627.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 803829 is about 896.5651119690. The cubic root of 803829 is about 92.9796463725.

The spelling of 803829 in words is "eight hundred three thousand, eight hundred twenty-nine".

Divisors: 1 3 13 39 20611 61833 267943 803829