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9872525 = 521337821
BaseRepresentation
bin100101101010…
…010010001101
3200120120120002
4211222102031
510011410100
6551334045
7146625605
oct45522215
920516502
109872525
115633413
123381325
132078840
14144dc05
15d002d5
hex96a48d

9872525 has 24 divisors (see below), whose sum is σ = 13556424. Its totient is φ = 7084800.

The previous prime is 9872521. The next prime is 9872567. The reversal of 9872525 is 5252789.

It can be written as a sum of positive squares in 12 ways, for example, as 3334276 + 6538249 = 1826^2 + 2557^2 .

It is not a de Polignac number, because 9872525 - 22 = 9872521 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9872521) 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 23 ways as a sum of consecutive naturals, for example, 11615 + ... + 12435.

It is an arithmetic number, because the mean of its divisors is an integer number (564851).

Almost surely, 29872525 is an apocalyptic number.

It is an amenable number.

9872525 is a deficient number, since it is larger than the sum of its proper divisors (3683899).

9872525 is a wasteful number, since it uses less digits than its factorization.

9872525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 9872525 is about 3142.0574469605. The cubic root of 9872525 is about 214.5240960899.

The spelling of 9872525 in words is "nine million, eight hundred seventy-two thousand, five hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 821 925 2405 4105 10673 12025 20525 30377 53365 151885 266825 394901 759425 1974505 9872525