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52208226 = 234726577
BaseRepresentation
bin1100011100101…
…0001001100010
310122020110020000
43013022021202
5101331130401
65103000430
71202522400
oct307121142
9118213200
1052208226
11275198a4
1215599116
13aa7c555
146d10470
1548b4186
hex31ca262

52208226 has 60 divisors (see below), whose sum is σ = 136105398. Its totient is φ = 14914368.

The previous prime is 52208197. The next prime is 52208227. The reversal of 52208226 is 62280225.

It can be written as a sum of positive squares in only one way, i.e., 28676025 + 23532201 = 5355^2 + 4851^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52208226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52208227) 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 29 ways as a sum of consecutive naturals, for example, 4650 + ... + 11226.

Almost surely, 252208226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52208226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68052699).

52208226 is an abundant number, since it is smaller than the sum of its proper divisors (83897172).

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

52208226 is a wasteful number, since it uses less digits than its factorization.

52208226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52208226 is about 7225.5260016140. The cubic root of 52208226 is about 373.7486610467.

The spelling of 52208226 in words is "fifty-two million, two hundred eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 6577 7938 13154 19731 39462 46039 59193 92078 118386 138117 177579 276234 322273 355158 414351 532737 644546 828702 966819 1065474 1243053 1933638 2486106 2900457 3729159 5800914 7458318 8701371 17402742 26104113 52208226