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2004000525 = 32528906669
BaseRepresentation
bin111011101110010…
…1001111100001101
312011122212202220200
41313130221330031
513101011004100
6530504404113
7100442503062
oct16734517415
95148782820
102004000525
1193922a28a
1247b176639
1325c248237
1415021ac69
15bae02e00
hex77729f0d

2004000525 has 18 divisors (see below), whose sum is σ = 3589388010. Its totient is φ = 1068800160.

The previous prime is 2004000499. The next prime is 2004000529. The reversal of 2004000525 is 5250004002.

It can be written as a sum of positive squares in 3 ways, for example, as 496309284 + 1507691241 = 22278^2 + 38829^2 .

It is not a de Polignac number, because 2004000525 - 26 = 2004000461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2004000498 and 2004000507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004000529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4453110 + ... + 4453559.

It is an arithmetic number, because the mean of its divisors is an integer number (199410445).

Almost surely, 22004000525 is an apocalyptic number.

2004000525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004000525 is a deficient number, since it is larger than the sum of its proper divisors (1585387485).

2004000525 is a wasteful number, since it uses less digits than its factorization.

2004000525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906685 (or 8906677 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2004000525 is about 44766.0644350160. The cubic root of 2004000525 is about 1260.7605480142.

Adding to 2004000525 its reverse (5250004002), we get a palindrome (7254004527).

The spelling of 2004000525 in words is "two billion, four million, five hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 45 75 225 8906669 26720007 44533345 80160021 133600035 222666725 400800105 668000175 2004000525