Search a number
-
+
4328480 = 255132081
BaseRepresentation
bin10000100000110000100000
322010220120002
4100200300200
52102002410
6232435132
751535322
oct20406040
98126502
104328480
112497062
121548aa8
13b87240
14809612
155a77a5
hex420c20

4328480 has 48 divisors (see below), whose sum is σ = 11017944. Its totient is φ = 1597440.

The previous prime is 4328461. The next prime is 4328497. The reversal of 4328480 is 848234.

4328480 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 2446096 + 1882384 = 1564^2 + 1372^2 .

It is a super-2 number, since 2×43284802 = 37471478220800, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

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, 1040 + ... + 3120.

Almost surely, 24328480 is an apocalyptic number.

4328480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 2080×2081.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508972).

4328480 is an abundant number, since it is smaller than the sum of its proper divisors (6689464).

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

4328480 is a wasteful number, since it uses less digits than its factorization.

4328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4328480 is about 2080.4999399183. The cubic root of 4328480 is about 162.9715533682.

The spelling of 4328480 in words is "four million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2081 4162 8324 10405 16648 20810 27053 33296 41620 54106 66592 83240 108212 135265 166480 216424 270530 332960 432848 541060 865696 1082120 2164240 4328480