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5268208 = 241137809
BaseRepresentation
bin10100000110001011110000
3100220122121211
4110012023300
52322040313
6304525504
762531131
oct24061360
910818554
105268208
112a790a0
121920894
131125baa
149b1c88
156e0e3d
hex5062f0

5268208 has 40 divisors (see below), whose sum is σ = 11450160. Its totient is φ = 2327040.

The previous prime is 5268203. The next prime is 5268209. The reversal of 5268208 is 8028625.

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 self number, because there is not a number n which added to its sum of digits gives 5268208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6108 + ... + 6916.

It is an arithmetic number, because the mean of its divisors is an integer number (286254).

Almost surely, 25268208 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 5268208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725080).

5268208 is an abundant number, since it is smaller than the sum of its proper divisors (6181952).

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

5268208 is a wasteful number, since it uses less digits than its factorization.

5268208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5268208 is about 2295.2577197343. The cubic root of 5268208 is about 174.0020257834.

It can be divided in two parts, 5268 and 208, that added together give a square (5476 = 742).

The spelling of 5268208 in words is "five million, two hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 809 814 1618 1628 3236 3256 6472 6512 8899 12944 17798 29933 35596 59866 71192 119732 142384 239464 329263 478928 658526 1317052 2634104 5268208