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12050208 = 25344649
BaseRepresentation
bin101101111101…
…111100100000
3211200012210000
4231331330200
511041101313
61110140000
7204265542
oct55757440
924605700
1012050208
116890555
124051600
13265bb01
141859692
1510d0673
hexb7df20

12050208 has 60 divisors (see below), whose sum is σ = 35446950. Its totient is φ = 4015872.

The previous prime is 12050201. The next prime is 12050249. The reversal of 12050208 is 80205021.

It can be written as a sum of positive squares in only one way, i.e., 6906384 + 5143824 = 2628^2 + 2268^2 .

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 (12050201) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 268 + ... + 4916.

Almost surely, 212050208 is an apocalyptic number.

12050208 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 12050208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17723475).

12050208 is an abundant number, since it is smaller than the sum of its proper divisors (23396742).

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

12050208 is an equidigital number, since it uses as much as digits as its factorization.

12050208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4654 counting only the distinct ones).

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

The square root of 12050208 is about 3471.3409512752. The cubic root of 12050208 is about 229.2617031867.

Adding to 12050208 its reverse (80205021), we get a palindrome (92255229).

The spelling of 12050208 in words is "twelve million, fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4649 9298 13947 18596 27894 37192 41841 55788 74384 83682 111576 125523 148768 167364 223152 251046 334728 376569 446304 502092 669456 753138 1004184 1338912 1506276 2008368 3012552 4016736 6025104 12050208