Search a number
-
+
4122424350 = 23252111748989
BaseRepresentation
bin1111010110110111…
…0011010000011110
3101122022001212002100
43311231303100132
531420320034400
61521021505530
7204105012612
oct36555632036
911568055070
104122424350
111826001480
129707122a6
135090b6c65
142b1701342
15191da9100
hexf5b7341e

4122424350 has 144 divisors (see below), whose sum is σ = 12793444560. Its totient is φ = 940569600.

The previous prime is 4122424291. The next prime is 4122424351. The reversal of 4122424350 is 534242214.

4122424350 is a `hidden beast` number, since 4 + 1 + 224 + 2 + 435 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122424351) 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 71 ways as a sum of consecutive naturals, for example, 59656 + ... + 108644.

It is an arithmetic number, because the mean of its divisors is an integer number (88843365).

Almost surely, 24122424350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122424350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396722280).

4122424350 is an abundant number, since it is smaller than the sum of its proper divisors (8671020210).

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

4122424350 is a wasteful number, since it uses less digits than its factorization.

4122424350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49035 (or 49027 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4122424350 is about 64206.1083542680. The cubic root of 4122424350 is about 1603.4332980935.

Adding to 4122424350 its reverse (534242214), we get a palindrome (4656666564).

The spelling of 4122424350 in words is "four billion, one hundred twenty-two million, four hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 45 50 51 55 66 75 85 90 99 102 110 150 153 165 170 187 198 225 255 275 306 330 374 425 450 495 510 550 561 765 825 850 935 990 1122 1275 1530 1650 1683 1870 2475 2550 2805 3366 3825 4675 4950 5610 7650 8415 9350 14025 16830 28050 42075 48989 84150 97978 146967 244945 293934 440901 489890 538879 734835 832813 881802 1077758 1224725 1469670 1616637 1665626 2204505 2449450 2498439 2694395 3233274 3674175 4164065 4409010 4849911 4996878 5388790 7348350 7495317 8083185 8328130 9160943 9699822 11022525 12492195 13471975 14990634 16166370 18321886 20820325 22045050 24249555 24984390 26943950 27482829 37476585 40415925 41640650 45804715 48499110 54965658 62460975 74953170 80831850 82448487 91609430 121247775 124921950 137414145 164896974 187382925 229023575 242495550 274828290 374765850 412242435 458047150 687070725 824484870 1374141450 2061212175 4122424350