Search a number
-
+
4243926168 = 2332597114071
BaseRepresentation
bin1111110011110101…
…0010110010011000
3101221202200210020200
43330331102302120
532142421114133
61541042022200
7210111530406
oct37475226230
911852623220
104243926168
1118886495a9
129a5347960
13528318621
142c38cc476
1519c8a9913
hexfcf52c98

4243926168 has 96 divisors (see below), whose sum is σ = 11854252800. Its totient is φ = 1370980800.

The previous prime is 4243926163. The next prime is 4243926179. The reversal of 4243926168 is 8616293424.

4243926168 is a `hidden beast` number, since 4 + 24 + 3 + 9 + 2 + 616 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243926161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294573 + ... + 308643.

It is an arithmetic number, because the mean of its divisors is an integer number (123481800).

Almost surely, 24243926168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243926168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927126400).

4243926168 is an abundant number, since it is smaller than the sum of its proper divisors (7610326632).

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

4243926168 is a wasteful number, since it uses less digits than its factorization.

4243926168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14213 (or 14206 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4243926168 is about 65145.4232314136. The cubic root of 4243926168 is about 1619.0338912694.

The spelling of 4243926168 in words is "four billion, two hundred forty-three million, nine hundred twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 71 72 118 142 177 213 236 284 354 426 472 531 568 639 708 852 1062 1278 1416 1704 2124 2556 4189 4248 5112 8378 12567 14071 16756 25134 28142 33512 37701 42213 50268 56284 75402 84426 100536 112568 126639 150804 168852 253278 301608 337704 506556 830189 999041 1013112 1660378 1998082 2490567 2997123 3320756 3996164 4981134 5994246 6641512 7471701 7992328 8991369 9962268 11988492 14943402 17982738 19924536 23976984 29886804 35965476 58943419 59773608 71930952 117886838 176830257 235773676 353660514 471547352 530490771 707321028 1060981542 1414642056 2121963084 4243926168