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12448008 = 2332832083
BaseRepresentation
bin101111011111…
…000100001000
3212102102110100
4233133010020
511141314013
61122445400
7210543366
oct57370410
925372410
1012448008
117032411
124203860
13276abb1
141920636
15115d473
hexbdf108

12448008 has 48 divisors (see below), whose sum is σ = 34135920. Its totient is φ = 4097376.

The previous prime is 12448003. The next prime is 12448031. The reversal of 12448008 is 80084421.

12448008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12448001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4935 + ... + 7017.

It is an arithmetic number, because the mean of its divisors is an integer number (711165).

Almost surely, 212448008 is an apocalyptic number.

12448008 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 12448008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067960).

12448008 is an abundant number, since it is smaller than the sum of its proper divisors (21687912).

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

12448008 is a wasteful number, since it uses less digits than its factorization.

12448008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12448008 is about 3528.1734651233. The cubic root of 12448008 is about 231.7572272160.

The spelling of 12448008 in words is "twelve million, four hundred forty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2083 2988 4166 5976 6249 8332 12498 16664 18747 24996 37494 49992 74988 149976 172889 345778 518667 691556 1037334 1383112 1556001 2074668 3112002 4149336 6224004 12448008