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12644082 = 23211193361
BaseRepresentation
bin110000001110…
…111011110010
3212210101102100
4300032323302
511214102312
61131001230
7212321133
oct60167362
925711370
1012644082
117156760
124299216
132809209
141971c8a
15119b5dc
hexc0eef2

12644082 has 48 divisors (see below), whose sum is σ = 31468320. Its totient is φ = 3628800.

The previous prime is 12644077. The next prime is 12644119. The reversal of 12644082 is 28044621.

12644082 is a `hidden beast` number, since 12 + 644 + 0 + 8 + 2 = 666.

It is a super-3 number, since 3×126440823 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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, 2082 + ... + 5442.

It is an arithmetic number, because the mean of its divisors is an integer number (655590).

Almost surely, 212644082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12644082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734160).

12644082 is an abundant number, since it is smaller than the sum of its proper divisors (18824238).

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

12644082 is a wasteful number, since it uses less digits than its factorization.

12644082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12644082 is about 3555.8517966867. The cubic root of 12644082 is about 232.9677299399.

The spelling of 12644082 in words is "twelve million, six hundred forty-four thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3361 3762 6722 10083 20166 30249 36971 60498 63859 73942 110913 127718 191577 221826 332739 383154 574731 665478 702449 1149462 1404898 2107347 4214694 6322041 12644082