Search a number
-
+
4239828 = 2232117773
BaseRepresentation
bin10000001011000111010100
321222101221200
4100023013110
52041133303
6230512500
751016005
oct20130724
97871850
104239828
11243649a
121505730
13b55a98
147c51ac
1558b3a3
hex40b1d4

4239828 has 18 divisors (see below), whose sum is σ = 10717434. Its totient is φ = 1413264.

The previous prime is 4239821. The next prime is 4239847. The reversal of 4239828 is 8289324.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 956484 = 1812^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×42398282 = 35952282939168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 117773 = 4239828 / (4 + 2 + 3 + 9 + 8 + 2 + 8).

It is a d-powerful number, because it can be written as 47 + 29 + 313 + 96 + 8 + 221 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4239792 and 4239801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4239821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58851 + ... + 58922.

It is an arithmetic number, because the mean of its divisors is an integer number (595413).

Almost surely, 24239828 is an apocalyptic number.

It is an amenable number.

4239828 is an abundant number, since it is smaller than the sum of its proper divisors (6477606).

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

4239828 is a wasteful number, since it uses less digits than its factorization.

4239828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117783 (or 117778 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4239828 is about 2059.0842624817. The cubic root of 4239828 is about 161.8512580774.

The spelling of 4239828 in words is "four million, two hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 117773 235546 353319 471092 706638 1059957 1413276 2119914 4239828