Search a number
-
+
442361313 = 3249151257
BaseRepresentation
bin11010010111011…
…110010111100001
31010211101021122100
4122113132113201
51401221030223
6111521201013
713651003062
oct3227362741
91124337570
10442361313
11207779669
12104190169
1370853b74
1442a70569
1528c80043
hex1a5de5e1

442361313 has 6 divisors (see below), whose sum is σ = 638966354. Its totient is φ = 294907536.

The previous prime is 442361281. The next prime is 442361317. The reversal of 442361313 is 313163244.

442361313 is a `hidden beast` number, since 4 + 42 + 3 + 613 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 430479504 + 11881809 = 20748^2 + 3447^2 .

It is not a de Polignac number, because 442361313 - 25 = 442361281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442361317) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 24575620 + ... + 24575637.

Almost surely, 2442361313 is an apocalyptic number.

It is an amenable number.

442361313 is a deficient number, since it is larger than the sum of its proper divisors (196605041).

442361313 is a wasteful number, since it uses less digits than its factorization.

442361313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49151263 (or 49151260 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 442361313 is about 21032.3872396835. The cubic root of 442361313 is about 761.9486656058.

The spelling of 442361313 in words is "four hundred forty-two million, three hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 3 9 49151257 147453771 442361313