Search a number
-
+
4788225 = 3252131637
BaseRepresentation
bin10010010001000000000001
3100000021012200
4102101000001
52211210400
6250343413
755461561
oct22210001
910007180
104788225
112780512
12172ab69
13cb8590
148c8da1
15648b00
hex491001

4788225 has 36 divisors (see below), whose sum is σ = 9241596. Its totient is φ = 2355840.

The previous prime is 4788221. The next prime is 4788233. The reversal of 4788225 is 5228874.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1718721 + 3069504 = 1311^2 + 1752^2 .

It is not a de Polignac number, because 4788225 - 22 = 4788221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4788225.

It is not an unprimeable number, because it can be changed into a prime (4788221) 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 35 ways as a sum of consecutive naturals, for example, 2107 + ... + 3743.

It is an arithmetic number, because the mean of its divisors is an integer number (256711).

It is a Proth number, since it is equal to 1169 ⋅ 212 + 1 and 1169 < 212.

Almost surely, 24788225 is an apocalyptic number.

4788225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4788225 is the 1170-th nonagonal number.

It is an amenable number.

4788225 is a deficient number, since it is larger than the sum of its proper divisors (4453371).

4788225 is a wasteful number, since it uses less digits than its factorization.

4788225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1658 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 4788225 is about 2188.2013161499. The cubic root of 4788225 is about 168.5484837308.

The spelling of 4788225 in words is "four million, seven hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 1637 2925 4911 8185 14733 21281 24555 40925 63843 73665 106405 122775 191529 319215 368325 532025 957645 1596075 4788225