Search a number
-
+
2444808025 = 52112292312
BaseRepresentation
bin1001000110111000…
…1100111101011001
320022101100010010101
42101232030331121
520001332324100
61042332415401
7114404345122
oct22156147531
96271303111
102444808025
111045037500
12582917561
132cc676a8a
141929a5049
15e497786a
hex91b8cf59

2444808025 has 81 divisors (see below), whose sum is σ = 3565995069. Its totient is φ = 1661352000.

The previous prime is 2444808019. The next prime is 2444808049. The reversal of 2444808025 is 5208084442.

The square root of 2444808025 is 49445.

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 33605209 + 2411202816 = 5797^2 + 49104^2 .

It is not a de Polignac number, because 2444808025 - 25 = 2444807993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78864760 + ... + 78864790.

Almost surely, 22444808025 is an apocalyptic number.

2444808025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2444808025 is the 49445-th square number.

2444808025 is the 24723-rd centered octagonal number.

It is an amenable number.

2444808025 is a deficient number, since it is larger than the sum of its proper divisors (1121187044).

2444808025 is a wasteful number, since it uses less digits than its factorization.

2444808025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The cubic root of 2444808025 is about 1347.1467906673.

The spelling of 2444808025 in words is "two billion, four hundred forty-four million, eight hundred eight thousand, twenty-five".

Divisors: 1 5 11 25 29 31 55 121 145 155 275 319 341 605 725 775 841 899 961 1595 1705 3025 3509 3751 4205 4495 4805 7975 8525 9251 9889 10571 17545 18755 21025 22475 24025 26071 27869 46255 49445 52855 87725 93775 101761 108779 116281 130355 139345 231275 247225 264275 286781 306559 508805 543895 581405 651775 696725 808201 1433905 1532795 2544025 2719475 2907025 3154591 3372149 4041005 7169525 7663975 8890211 15772955 16860745 20205025 44451055 78864775 84303725 97792321 222255275 488961605 2444808025