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825038343 = 328310310723
BaseRepresentation
bin110001001011010…
…001011000000111
32010111110021211200
4301023101120013
53142202211333
6213511233543
726305465413
oct6113213007
92114407750
10825038343
11393792578
121b03788b3
13101c0b68c
147b805d43
154c670c13
hex312d1607

825038343 has 24 divisors (see below), whose sum is σ = 1217903232. Its totient is φ = 538072848.

The previous prime is 825038341. The next prime is 825038351. The reversal of 825038343 is 343830528.

It is not a de Polignac number, because 825038343 - 21 = 825038341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825038298 and 825038307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825038341) 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 23 ways as a sum of consecutive naturals, for example, 71580 + ... + 82302.

It is an arithmetic number, because the mean of its divisors is an integer number (50745968).

Almost surely, 2825038343 is an apocalyptic number.

825038343 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

825038343 is a deficient number, since it is larger than the sum of its proper divisors (392864889).

825038343 is a wasteful number, since it uses less digits than its factorization.

825038343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 825038343 is about 28723.4806908912. The cubic root of 825038343 is about 937.9032573442.

The spelling of 825038343 in words is "eight hundred twenty-five million, thirty-eight thousand, three hundred forty-three".

Divisors: 1 3 9 83 103 249 309 747 927 8549 10723 25647 32169 76941 96507 890009 1104469 2670027 3313407 8010081 9940221 91670927 275012781 825038343