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9832825 = 524153181
BaseRepresentation
bin100101100000…
…100101111001
3200111120002201
4211200211321
510004122300
6550430201
7146402062
oct45404571
920446081
109832825
115606602
123362361
132063752
14143d569
15ce366a
hex960979

9832825 has 24 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 7488000.

The previous prime is 9832819. The next prime is 9832829. The reversal of 9832825 is 5282389.

It can be written as a sum of positive squares in 12 ways, for example, as 7333264 + 2499561 = 2708^2 + 1581^2 .

It is not a de Polignac number, because 9832825 - 29 = 9832313 is a prime.

It is a Duffinian number.

9832825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9832829) 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, 54235 + ... + 54415.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 29832825 is an apocalyptic number.

It is an amenable number.

9832825 is a deficient number, since it is larger than the sum of its proper divisors (2963231).

9832825 is a wasteful number, since it uses less digits than its factorization.

9832825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 9832825 is about 3135.7335664881. The cubic root of 9832825 is about 214.2361573231.

It can be divided in two parts, 98 and 32825, that added together give a palindrome (32923).

The spelling of 9832825 in words is "nine million, eight hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 53 181 205 265 905 1025 1325 2173 4525 7421 9593 10865 37105 47965 54325 185525 239825 393313 1966565 9832825