Search a number
-
+
443282982025 = 52132102432
BaseRepresentation
bin1100111001101011011…
…10011000010010001001
31120101012011010200012011
412130311232120102021
524230320420411100
6535350312415521
744011652114662
oct6346556302211
91511164120164
10443282982025
11160aa4761424
1271ab26a75a1
1332a558c4c00
141765279a369
15b7e6720bba
hex6735b98489

443282982025 has 27 divisors (see below), whose sum is σ = 595263879189. Its totient is φ = 327315474720.

The previous prime is 443282982017. The next prime is 443282982083. The reversal of 443282982025 is 520289282344.

It is a happy number.

The square root of 443282982025 is 665795.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 114256844361 + 329026137664 = 338019^2 + 573608^2 .

It is not a de Polignac number, because 443282982025 - 23 = 443282982017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 443282982025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43271554 + ... + 43281796.

Almost surely, 2443282982025 is an apocalyptic number.

443282982025 is the 665795-th square number.

443282982025 is the 332898-th centered octagonal number.

It is an amenable number.

443282982025 is a deficient number, since it is larger than the sum of its proper divisors (151980897164).

443282982025 is an frugal number, since it uses more digits than its factorization.

443282982025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20522 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 443282982025 by its sum of digits (49), we get a square (21720866119225 = 46605652).

The spelling of 443282982025 in words is "four hundred forty-three billion, two hundred eighty-two million, nine hundred eighty-two thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 10243 51215 133159 256075 665795 1731067 3328975 8655335 43276675 104919049 524595245 1363947637 2622976225 6819738185 17731319281 34098690925 88656596405 443282982025