Search a number
-
+
4426422 = 2371121367
BaseRepresentation
bin10000111000101010110110
322022212220120
4100320222312
52113121142
6234512410
752424010
oct20705266
98285816
104426422
112553700
121595706
13bbc9b0
148331b0
155c67ec
hex438ab6

4426422 has 96 divisors (see below), whose sum is σ = 12155136. Its totient is φ = 1045440.

The previous prime is 4426417. The next prime is 4426423. The reversal of 4426422 is 2246244.

It is a junction number, because it is equal to n+sod(n) for n = 4426392 and 4426401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426423) 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 47 ways as a sum of consecutive naturals, for example, 66033 + ... + 66099.

It is an arithmetic number, because the mean of its divisors is an integer number (126616).

Almost surely, 24426422 is an apocalyptic number.

4426422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4426422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077568).

4426422 is an abundant number, since it is smaller than the sum of its proper divisors (7728714).

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

4426422 is a wasteful number, since it uses less digits than its factorization.

4426422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4426422 is about 2103.9063667378. The cubic root of 4426422 is about 164.1916013672.

It can be divided in two parts, 4 and 426422, that added together give a triangular number (426426 = T923).

The spelling of 4426422 in words is "four million, four hundred twenty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 67 77 78 91 121 134 143 154 182 201 231 242 273 286 363 402 429 462 469 546 726 737 847 858 871 938 1001 1407 1474 1573 1694 1742 2002 2211 2541 2613 2814 3003 3146 4422 4719 5082 5159 5226 6006 6097 8107 9438 9581 10318 11011 12194 15477 16214 18291 19162 22022 24321 28743 30954 33033 36582 48642 56749 57486 66066 67067 105391 113498 134134 170247 201201 210782 316173 340494 402402 632346 737737 1475474 2213211 4426422