Search a number
-
+
4686392448 = 273217239297
BaseRepresentation
bin1000101110101010…
…01010110010000000
3110002121021101212200
410113111022302000
534044204024243
62053005353200
7224063451513
oct42725126200
913077241780
104686392448
111a9538a011
12aa9568800
13598ba81aa
14326588d7a
151c665aad3
hex11754ac80

4686392448 has 96 divisors (see below), whose sum is σ = 14278911660. Its totient is φ = 1470234624.

The previous prime is 4686392443. The next prime is 4686392449. The reversal of 4686392448 is 8442936864.

It can be written as a sum of positive squares in 2 ways, for example, as 3993228864 + 693163584 = 63192^2 + 26328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4686392394 and 4686392403.

It is not an unprimeable number, because it can be changed into a prime (4686392441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100065 + ... + 139232.

Almost surely, 24686392448 is an apocalyptic number.

4686392448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4686392448 is an abundant number, since it is smaller than the sum of its proper divisors (9592519212).

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

4686392448 is a wasteful number, since it uses less digits than its factorization.

4686392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239334 (or 239319 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 4686392448 is about 68457.2307941243. The cubic root of 4686392448 is about 1673.4505547245.

The spelling of 4686392448 in words is "four billion, six hundred eighty-six million, three hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 239297 478594 717891 957188 1435782 1914376 2153673 2871564 3828752 4068049 4307346 5743128 7657504 8136098 8614692 11486256 12204147 15315008 16272196 17229384 22972512 24408294 30630016 32544392 34458768 36612441 45945024 48816588 65088784 68917536 73224882 91890048 97633176 130177568 137835072 146449764 195266352 260355136 275670144 292899528 390532704 520710272 585799056 781065408 1171598112 1562130816 2343196224 4686392448