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4092288841 = 172532712
BaseRepresentation
bin1111001111101011…
…0101111101001001
3101120012100210221101
43303322311331021
531340111220331
61514023541401
7203260611154
oct36372657511
911505323841
104092288841
11180aa991a3
129625ba861
13502a953b4
142ab6d8c9b
1518e405061
hexf3eb5f49

4092288841 has 27 divisors (see below), whose sum is σ = 4494025333. Its totient is φ = 3725671040.

The previous prime is 4092288839. The next prime is 4092288847. The reversal of 4092288841 is 1488822904.

The square root of 4092288841 is 63971.

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 1025344441 + 3066944400 = 32021^2 + 55380^2 .

It is not a de Polignac number, because 4092288841 - 21 = 4092288839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4092288791 and 4092288800.

It is not an unprimeable number, because it can be changed into a prime (4092288847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57637836 + ... + 57637906.

Almost surely, 24092288841 is an apocalyptic number.

4092288841 is the 63971-st square number.

4092288841 is the 31986-th centered octagonal number.

It is an amenable number.

4092288841 is a deficient number, since it is larger than the sum of its proper divisors (401736492).

4092288841 is an frugal number, since it uses more digits than its factorization.

4092288841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The cubic root of 4092288841 is about 1599.5166301576.

The spelling of 4092288841 in words is "four billion, ninety-two million, two hundred eighty-eight thousand, eight hundred forty-one".

Divisors: 1 17 53 71 289 901 1207 2809 3763 5041 15317 20519 47753 63971 85697 199439 267173 811801 1087507 1456849 3390463 4541941 14160169 57637871 77212997 240722873 4092288841