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12052008 = 2332732293
BaseRepresentation
bin101101111110…
…011000101000
3211200022020200
4231332120220
511041131013
61110152200
7204304023
oct55763050
924608220
1012052008
116891941
124052660
13265c887
14185a1ba
1510d0e73
hexb7e628

12052008 has 48 divisors (see below), whose sum is σ = 33102420. Its totient is φ = 3960576.

The previous prime is 12051983. The next prime is 12052009. The reversal of 12052008 is 80025021.

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 66564 = 3462^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12052009) 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 11 ways as a sum of consecutive naturals, for example, 4110 + ... + 6402.

Almost surely, 212052008 is an apocalyptic number.

12052008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12052008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551210).

12052008 is an abundant number, since it is smaller than the sum of its proper divisors (21050412).

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

12052008 is a wasteful number, since it uses less digits than its factorization.

12052008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12052008 is about 3471.6002073972. The cubic root of 12052008 is about 229.2731179418.

Adding to 12052008 its reverse (80025021), we get a palindrome (92077029).

The spelling of 12052008 in words is "twelve million, fifty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2293 2628 4586 5256 6879 9172 13758 18344 20637 27516 41274 55032 82548 165096 167389 334778 502167 669556 1004334 1339112 1506501 2008668 3013002 4017336 6026004 12052008