Search a number
-
+
442988424 = 233210160917
BaseRepresentation
bin11010011001110…
…111011110001000
31010212120010212200
4122121313132020
51401401112144
6111542440200
713656224304
oct3231673610
91125503780
10442988424
1120806783a
12104433060
1370a13438
1442b94d04
1528d55c69
hex1a677788

442988424 has 48 divisors (see below), whose sum is σ = 1211659020. Its totient is φ = 146198400.

The previous prime is 442988423. The next prime is 442988437. The reversal of 442988424 is 424889244.

It can be written as a sum of positive squares in 2 ways, for example, as 441756324 + 1232100 = 21018^2 + 1110^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442988424.

It is not an unprimeable number, because it can be changed into a prime (442988423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23187 + ... + 37730.

Almost surely, 2442988424 is an apocalyptic number.

It is an amenable number.

442988424 is an abundant number, since it is smaller than the sum of its proper divisors (768670596).

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

442988424 is a wasteful number, since it uses less digits than its factorization.

442988424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61030 (or 61023 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 442988424 is about 21047.2901818738. The cubic root of 442988424 is about 762.3085529929.

The spelling of 442988424 in words is "four hundred forty-two million, nine hundred eighty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 60917 121834 182751 243668 365502 487336 548253 731004 1096506 1462008 2193012 4386024 6152617 12305234 18457851 24610468 36915702 49220936 55373553 73831404 110747106 147662808 221494212 442988424