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9853428 = 2231383761
BaseRepresentation
bin100101100101…
…100111110100
3200112121100210
4211211213310
510010302203
6551105420
7146516124
oct45454764
920477323
109853428
115620032
123372270
13206cc40
141446c84
15ce9803
hex9659f4

9853428 has 48 divisors (see below), whose sum is σ = 25091136. Its totient is φ = 2991360.

The previous prime is 9853423. The next prime is 9853439. The reversal of 9853428 is 8243589.

It is a happy number.

It is a super-3 number, since 3×98534283 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (69120) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9853423) 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 15 ways as a sum of consecutive naturals, for example, 12568 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (522732).

Almost surely, 29853428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9853428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545568).

9853428 is an abundant number, since it is smaller than the sum of its proper divisors (15237708).

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

9853428 is a wasteful number, since it uses less digits than its factorization.

9853428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 9853428 is about 3139.0170435982. The cubic root of 9853428 is about 214.3856846553.

The spelling of 9853428 in words is "nine million, eight hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 761 996 1079 1522 2158 2283 3044 3237 4316 4566 6474 9132 9893 12948 19786 29679 39572 59358 63163 118716 126326 189489 252652 378978 757956 821119 1642238 2463357 3284476 4926714 9853428