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12412008 = 233378209
BaseRepresentation
bin101111010110…
…010001101000
3212100121002000
4233112101220
511134141013
61122011000
7210333420
oct57262150
925317060
1012412008
117008364
1241a6a60
1327576ab
141911480
151152973
hexbd6468

12412008 has 64 divisors (see below), whose sum is σ = 39408000. Its totient is φ = 3545856.

The previous prime is 12411979. The next prime is 12412013. The reversal of 12412008 is 80021421.

12412008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593 + ... + 5616.

It is an arithmetic number, because the mean of its divisors is an integer number (615750).

Almost surely, 212412008 is an apocalyptic number.

12412008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12412008 is an abundant number, since it is smaller than the sum of its proper divisors (26995992).

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

12412008 is a wasteful number, since it uses less digits than its factorization.

12412008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8231 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12412008 is about 3523.0679811778. The cubic root of 12412008 is about 231.5335952874.

Adding to 12412008 its reverse (80021421), we get a palindrome (92433429).

It can be divided in two parts, 1241 and 2008, that added together give a square (3249 = 572).

The spelling of 12412008 in words is "twelve million, four hundred twelve thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8209 16418 24627 32836 49254 57463 65672 73881 98508 114926 147762 172389 197016 221643 229852 295524 344778 443286 459704 517167 591048 689556 886572 1034334 1379112 1551501 1773144 2068668 3103002 4137336 6206004 12412008