Search a number
-
+
4218272 = 25612161
BaseRepresentation
bin10000000101110110100000
321221022101022
4100011312200
52034441042
6230225012
750566112
oct20056640
97838338
104218272
112421283
1214b5168
13b49026
147bb3b2
15584cd2
hex405da0

4218272 has 24 divisors (see below), whose sum is σ = 8444772. Its totient is φ = 2073600.

The previous prime is 4218271. The next prime is 4218281. The reversal of 4218272 is 2728124.

It can be written as a sum of positive squares in 2 ways, for example, as 3984016 + 234256 = 1996^2 + 484^2 .

It is not an unprimeable number, because it can be changed into a prime (4218271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 3032.

Almost surely, 24218272 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 4218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222386).

4218272 is an abundant number, since it is smaller than the sum of its proper divisors (4226500).

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

4218272 is a wasteful number, since it uses less digits than its factorization.

4218272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2224 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 4218272 is about 2053.8432267337. The cubic root of 4218272 is about 161.5764988861.

The spelling of 4218272 in words is "four million, two hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2161 4322 8644 17288 34576 69152 131821 263642 527284 1054568 2109136 4218272