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825000105 = 3561988853
BaseRepresentation
bin110001001011001…
…000000010101001
32010111101100101110
4301023020002221
53142200000410
6213510340533
726305246056
oct6113100251
92114340343
10825000105
11393766876
121b035a749
13101bc7157
147b7d602d
154c664720
hex312c80a9

825000105 has 16 divisors (see below), whose sum is σ = 1322147520. Its totient is φ = 439284288.

The previous prime is 825000061. The next prime is 825000119. The reversal of 825000105 is 501000528.

It is not a de Polignac number, because 825000105 - 221 = 822902953 is a prime.

It is a super-2 number, since 2×8250001052 = 1361250346500022050, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35142 + ... + 53711.

It is an arithmetic number, because the mean of its divisors is an integer number (82634220).

Almost surely, 2825000105 is an apocalyptic number.

It is an amenable number.

825000105 is a deficient number, since it is larger than the sum of its proper divisors (497147415).

825000105 is a wasteful number, since it uses less digits than its factorization.

825000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89480.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 825000105 is about 28722.8150605055. The cubic root of 825000105 is about 937.8887674727. Note that the first 3 decimals are identical.

The spelling of 825000105 in words is "eight hundred twenty-five million, one hundred five", and thus it is an aban number.

Divisors: 1 3 5 15 619 1857 3095 9285 88853 266559 444265 1332795 55000007 165000021 275000035 825000105