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9933975 = 335214717
BaseRepresentation
bin100101111001…
…010010010111
3200200200212000
4211321102113
510020341400
6552530343
7150303012
oct45712227
920620760
109933975
1156755a7
1233b09b3
13209a7bc
141468379
15d13600
hex979497

9933975 has 24 divisors (see below), whose sum is σ = 18250320. Its totient is φ = 5297760.

The previous prime is 9933971. The next prime is 9933977. The reversal of 9933975 is 5793399.

It is not a de Polignac number, because 9933975 - 22 = 9933971 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9933975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9933971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6684 + ... + 8033.

It is an arithmetic number, because the mean of its divisors is an integer number (760430).

Almost surely, 29933975 is an apocalyptic number.

9933975 is a deficient number, since it is larger than the sum of its proper divisors (8316345).

9933975 is a wasteful number, since it uses less digits than its factorization.

9933975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14736 (or 14725 counting only the distinct ones).

The product of its digits is 229635, while the sum is 45.

The square root of 9933975 is about 3151.8209022722. The cubic root of 9933975 is about 214.9682664540.

The spelling of 9933975 in words is "nine million, nine hundred thirty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 14717 44151 73585 132453 220755 367925 397359 662265 1103775 1986795 3311325 9933975