Search a number
-
+
4228176 = 243591493
BaseRepresentation
bin10000001000010001010000
321221210222010
4100020101100
52040300201
6230342520
750640021
oct20102120
97853863
104228176
112428767
1214baa40
13b506a4
147c0c48
15587bd6
hex408450

4228176 has 40 divisors (see below), whose sum is σ = 11115360. Its totient is φ = 1384576.

The previous prime is 4228157. The next prime is 4228177. The reversal of 4228176 is 6718224.

It is a d-powerful number, because it can be written as 411 + 25 + 215 + 83 + 1 + 73 + 63 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2086 + ... + 3578.

It is an arithmetic number, because the mean of its divisors is an integer number (277884).

Almost surely, 24228176 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 4228176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557680).

4228176 is an abundant number, since it is smaller than the sum of its proper divisors (6887184).

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

4228176 is a wasteful number, since it uses less digits than its factorization.

4228176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 4228176 is about 2056.2529027335. The cubic root of 4228176 is about 161.7028541705.

The spelling of 4228176 in words is "four million, two hundred twenty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 1493 2832 2986 4479 5972 8958 11944 17916 23888 35832 71664 88087 176174 264261 352348 528522 704696 1057044 1409392 2114088 4228176