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4226526 = 233234183
BaseRepresentation
bin10000000111110111011110
321221201201000
4100013313132
52040222101
6230331130
750632143
oct20076736
97851630
104226526
1124274a7
1214b9aa6
13b4ca05
147c03ca
15587486
hex407dde

4226526 has 64 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1298880.

The previous prime is 4226501. The next prime is 4226527. The reversal of 4226526 is 6256224.

4226526 is a `hidden beast` number, since 4 + 2 + 2 + 652 + 6 = 666.

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 4226526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226527) 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 31 ways as a sum of consecutive naturals, for example, 50881 + ... + 50963.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 24226526 is an apocalyptic number.

4226526 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4226526 is an abundant number, since it is smaller than the sum of its proper divisors (5934114).

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

4226526 is a wasteful number, since it uses less digits than its factorization.

4226526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4226526 is about 2055.8516483443. The cubic root of 4226526 is about 161.6818171699.

The spelling of 4226526 in words is "four million, two hundred twenty-six thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 83 123 138 166 207 246 249 369 414 498 621 738 747 943 1107 1242 1494 1886 1909 2214 2241 2829 3403 3818 4482 5658 5727 6806 8487 10209 11454 16974 17181 20418 25461 30627 34362 50922 51543 61254 78269 91881 103086 156538 183762 234807 469614 704421 1408842 2113263 4226526