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2000825 = 52163491
BaseRepresentation
bin111101000011110111001
310202122121122
413220132321
51003011300
6110515025
723002211
oct7503671
93678548
102000825
111147282
12805a75
13550928
143a1241
15297c85
hex1e87b9

2000825 has 12 divisors (see below), whose sum is σ = 2501328. Its totient is φ = 1587600.

The previous prime is 2000813. The next prime is 2000863. The reversal of 2000825 is 5280002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2000825 is a prime.

It is a Duffinian number.

2000825 is a modest number, since divided by 825 gives 200 as remainder.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3830 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (208444).

22000825 is an apocalyptic number.

2000825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2000825 is a deficient number, since it is larger than the sum of its proper divisors (500503).

2000825 is a wasteful number, since it uses less digits than its factorization.

2000825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2000825 is about 1414.5052138469. The cubic root of 2000825 is about 126.0094265224.

Adding to 2000825 its reverse (5280002), we get a palindrome (7280827).

The spelling of 2000825 in words is "two million, eight hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 163 491 815 2455 4075 12275 80033 400165 2000825