Search a number
-
+
2399824144 = 243723312
BaseRepresentation
bin1000111100001010…
…0110100100010000
320012020200200211201
42033002212210100
514403323333034
61034044320544
7113320111564
oct21702464420
96166620751
102399824144
111021702443
1256b843154
132c32568b3
1418aa156a4
15e0a3e014
hex8f0a6910

2399824144 has 45 divisors (see below), whose sum is σ = 4793202981. Its totient is φ = 1163954880.

The previous prime is 2399824139. The next prime is 2399824151. The reversal of 2399824144 is 4414289932.

The square root of 2399824144 is 48988.

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

It can be written as a sum of positive squares in only one way, i.e., 2147395600 + 252428544 = 46340^2 + 15888^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2399824094 and 2399824103.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7250059 + ... + 7250389.

Almost surely, 22399824144 is an apocalyptic number.

2399824144 is the 48988-th square number.

It is an amenable number.

2399824144 is a deficient number, since it is larger than the sum of its proper divisors (2393378837).

2399824144 is an frugal number, since it uses more digits than its factorization.

2399824144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 370 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The cubic root of 2399824144 is about 1338.8331983098.

The spelling of 2399824144 in words is "two billion, three hundred ninety-nine million, eight hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 331 592 662 1324 1369 2648 2738 5296 5476 10952 12247 21904 24494 48988 97976 109561 195952 219122 438244 453139 876488 906278 1752976 1812556 3625112 4053757 7250224 8107514 16215028 32430056 64860112 149989009 299978018 599956036 1199912072 2399824144