Search a number
-
+
4242304404 = 2232139064753
BaseRepresentation
bin1111110011011100…
…0110110110010100
3101221122122101121100
43330313012312110
532142012220104
61540543150100
7210061664262
oct37467066624
911848571540
104242304404
1118877410a8
129a48a5330
13527b9b3c0
142c35c9432
1519c689139
hexfcdc6d94

4242304404 has 36 divisors (see below), whose sum is σ = 11548496596. Its totient is φ = 1305324288.

The previous prime is 4242304403. The next prime is 4242304447. The reversal of 4242304404 is 4044032424.

It is a happy number.

4242304404 is a `hidden beast` number, since 4 + 24 + 230 + 4 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2381244804 + 1861059600 = 48798^2 + 43140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242304403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4531909 + ... + 4532844.

Almost surely, 24242304404 is an apocalyptic number.

It is an amenable number.

4242304404 is an abundant number, since it is smaller than the sum of its proper divisors (7306192192).

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

4242304404 is a wasteful number, since it uses less digits than its factorization.

4242304404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064776 (or 9064771 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4242304404 is about 65132.9747823635. The cubic root of 4242304404 is about 1618.8276337220.

Adding to 4242304404 its reverse (4044032424), we get a palindrome (8286336828).

The spelling of 4242304404 in words is "four billion, two hundred forty-two million, three hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9064753 18129506 27194259 36259012 54388518 81582777 108777036 117841789 163165554 235683578 326331108 353525367 471367156 707050734 1060576101 1414101468 2121152202 4242304404