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8063208 = 2332532113
BaseRepresentation
bin11110110000100011101000
3120011122122100
4132300203220
54031010313
6444453400
7125351616
oct36604350
916148570
108063208
11460800a
12284a260
13189413a
1410dc6b6
15a94173
hex7b08e8

8063208 has 48 divisors (see below), whose sum is σ = 22260420. Its totient is φ = 2635776.

The previous prime is 8063203. The next prime is 8063221. The reversal of 8063208 is 8023608.

It can be written as a sum of positive squares in 2 ways, for example, as 7518564 + 544644 = 2742^2 + 738^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8063203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2760 + ... + 4872.

Almost surely, 28063208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8063208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130210).

8063208 is an abundant number, since it is smaller than the sum of its proper divisors (14197212).

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

8063208 is a wasteful number, since it uses less digits than its factorization.

8063208 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8063208 is about 2839.5788420116. The cubic root of 8063208 is about 200.5253521506.

The spelling of 8063208 in words is "eight million, sixty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2113 3816 4226 6339 8452 12678 16904 19017 25356 38034 50712 76068 111989 152136 223978 335967 447956 671934 895912 1007901 1343868 2015802 2687736 4031604 8063208