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20482112 = 267131349
BaseRepresentation
bin100111000100…
…0100001000000
31102112121011202
41032020201000
520220411422
62011000332
7336044420
oct116104100
942477152
1020482112
111061a572
126a390a8
1343219c1
142a12480
151be8b92
hex1388840

20482112 has 56 divisors (see below), whose sum is σ = 46939200. Its totient is φ = 8686080.

The previous prime is 20482109. The next prime is 20482123. The reversal of 20482112 is 21128402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

20482112 is a modest number, since divided by 2112 gives 2048 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58514 + ... + 58862.

It is an arithmetic number, because the mean of its divisors is an integer number (838200).

Almost surely, 220482112 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 20482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469600).

20482112 is an abundant number, since it is smaller than the sum of its proper divisors (26457088).

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

20482112 is a wasteful number, since it uses less digits than its factorization.

20482112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 20482112 is about 4525.7167388161. The cubic root of 20482112 is about 273.6055560127.

The spelling of 20482112 in words is "twenty million, four hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 349 448 524 698 917 1048 1396 1834 2096 2443 2792 3668 4192 4886 5584 7336 8384 9772 11168 14672 19544 22336 29344 39088 45719 58688 78176 91438 156352 182876 320033 365752 640066 731504 1280132 1463008 2560264 2926016 5120528 10241056 20482112