Search a number
-
+
4226288 = 241123759
BaseRepresentation
bin10000000111110011110000
321221201101012
4100013303300
52040220123
6230330052
750631353
oct20076360
97851335
104226288
112427300
1214b9928
13b4c881
147c029a
15587378
hex407cf0

4226288 has 60 divisors (see below), whose sum is σ = 9400440. Its totient is φ = 1837440.

The previous prime is 4226281. The next prime is 4226291. The reversal of 4226288 is 8826224.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71603 + ... + 71661.

It is an arithmetic number, because the mean of its divisors is an integer number (156674).

Almost surely, 24226288 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 4226288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700220).

4226288 is an abundant number, since it is smaller than the sum of its proper divisors (5174152).

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

4226288 is a wasteful number, since it uses less digits than its factorization.

4226288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 4226288 is about 2055.7937639754. The cubic root of 4226288 is about 161.6787822901.

The spelling of 4226288 in words is "four million, two hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 37 44 59 74 88 118 121 148 176 236 242 296 407 472 484 592 649 814 944 968 1298 1628 1936 2183 2596 3256 4366 4477 5192 6512 7139 8732 8954 10384 14278 17464 17908 24013 28556 34928 35816 48026 57112 71632 96052 114224 192104 264143 384208 528286 1056572 2113144 4226288