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12418816 = 28139349
BaseRepresentation
bin101111010111…
…111100000000
3212100221102011
4233113330000
511134400231
61122102304
7210362314
oct57277400
925327364
1012418816
117012493
1241aa994
13275a817
141913b44
1511549b1
hexbd7f00

12418816 has 36 divisors (see below), whose sum is σ = 25039000. Its totient is φ = 6147072.

The previous prime is 12418811. The next prime is 12418829. The reversal of 12418816 is 61881421.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418811) 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 3 ways as a sum of consecutive naturals, for example, 35410 + ... + 35758.

Almost surely, 212418816 is an apocalyptic number.

12418816 is a gapful number since it is divisible by the number (16) 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 12418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519500).

12418816 is an abundant number, since it is smaller than the sum of its proper divisors (12620184).

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

12418816 is an equidigital number, since it uses as much as digits as its factorization.

12418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 12418816 is about 3524.0340520489. The cubic root of 12418816 is about 231.5759196936.

The spelling of 12418816 in words is "twelve million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 349 556 698 1112 1396 2224 2792 4448 5584 8896 11168 17792 22336 35584 44672 48511 89344 97022 194044 388088 776176 1552352 3104704 6209408 12418816