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9813375 = 3253111361
BaseRepresentation
bin100101011011…
…110101111111
3200110120102100
4211123311333
510003012000
6550200143
7146261265
oct45336577
920416370
109813375
1155a2a30
123353053
132057940
141436435
15cdca00
hex95bd7f

9813375 has 96 divisors (see below), whose sum is σ = 21123648. Its totient is φ = 4320000.

The previous prime is 9813373. The next prime is 9813383. The reversal of 9813375 is 5733189.

It is not a de Polignac number, because 9813375 - 21 = 9813373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9813373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160845 + ... + 160905.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 29813375 is an apocalyptic number.

9813375 is an abundant number, since it is smaller than the sum of its proper divisors (11310273).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9813375 is a wasteful number, since it uses less digits than its factorization.

9813375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 9813375 is about 3132.6306836268. The cubic root of 9813375 is about 214.0948061601.

It can be divided in two parts, 981 and 3375, that added together give a square (4356 = 662).

The spelling of 9813375 in words is "nine million, eight hundred thirteen thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 61 65 75 99 117 125 143 165 183 195 225 275 305 325 375 429 495 549 585 671 715 793 825 915 975 1125 1287 1375 1525 1625 2013 2145 2379 2475 2745 2925 3355 3575 3965 4125 4575 4875 6039 6435 7137 7625 8723 10065 10725 11895 12375 13725 14625 16775 17875 19825 22875 26169 30195 32175 35685 43615 50325 53625 59475 68625 78507 83875 99125 130845 150975 160875 178425 218075 251625 297375 392535 654225 754875 892125 1090375 1962675 3271125 9813375