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9993825 = 325244417
BaseRepresentation
bin100110000111…
…111001100001
3200210201221200
4212013321201
510024300300
6554111413
7150642342
oct46077141
920721850
109993825
115706566
12341b569
1320bbb0a
1414820c9
15d26200
hex987e61

9993825 has 18 divisors (see below), whose sum is σ = 17900454. Its totient is φ = 5329920.

The previous prime is 9993821. The next prime is 9993827. The reversal of 9993825 is 5283999.

9993825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33489 + 9960336 = 183^2 + 3156^2 .

It is not a de Polignac number, because 9993825 - 22 = 9993821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

9993825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9993821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21984 + ... + 22433.

Almost surely, 29993825 is an apocalyptic number.

It is an amenable number.

9993825 is a deficient number, since it is larger than the sum of its proper divisors (7906629).

9993825 is a wasteful number, since it uses less digits than its factorization.

9993825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44433 (or 44425 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 9993825 is about 3161.3011561697. The cubic root of 9993825 is about 215.3991144249.

The spelling of 9993825 in words is "nine million, nine hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 44417 133251 222085 399753 666255 1110425 1998765 3331275 9993825