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9933625 = 53136113
BaseRepresentation
bin100101111001…
…001100111001
3200200200101001
4211321030321
510020334000
6552525001
7150302002
oct45711471
920620331
109933625
115675309
1233b0761
13209a5b0
1414681a9
15d1346a
hex979339

9933625 has 16 divisors (see below), whose sum is σ = 13352976. Its totient is φ = 7334400.

The previous prime is 9933619. The next prime is 9933643. The reversal of 9933625 is 5263399.

It can be written as a sum of positive squares in 8 ways, for example, as 4857616 + 5076009 = 2204^2 + 2253^2 .

It is not a de Polignac number, because 9933625 - 23 = 9933617 is a prime.

9933625 is a lucky number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1432 + ... + 4681.

It is an arithmetic number, because the mean of its divisors is an integer number (834561).

Almost surely, 29933625 is an apocalyptic number.

It is an amenable number.

9933625 is a deficient number, since it is larger than the sum of its proper divisors (3419351).

9933625 is a wasteful number, since it uses less digits than its factorization.

9933625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6131 counting only the distinct ones).

The product of its digits is 43740, while the sum is 37.

The square root of 9933625 is about 3151.7653783237. The cubic root of 9933625 is about 214.9657417923.

The spelling of 9933625 in words is "nine million, nine hundred thirty-three thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 6113 30565 79469 152825 397345 764125 1986725 9933625