Search a number
-
+
4268339712 = 2935713229
BaseRepresentation
bin1111111001101001…
…1011001000000000
3102000110122010100000
43332122123020000
532220143332322
61543313200000
7210526201050
oct37632331000
912013563300
104268339712
1118a040388a
129b1560000
135303b5900
142c6c45560
1519eacd3ac
hexfe69b200

4268339712 has 720 divisors, whose sum is σ = 16354578240. Its totient is φ = 1086898176.

The previous prime is 4268339707. The next prime is 4268339723. The reversal of 4268339712 is 2179338624.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147184114 + ... + 147184142.

It is an arithmetic number, because the mean of its divisors is an integer number (22714692).

Almost surely, 24268339712 is an apocalyptic number.

4268339712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177289120).

4268339712 is an abundant number, since it is smaller than the sum of its proper divisors (12086238528).

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

4268339712 is an equidigital number, since it uses as much as digits as its factorization.

4268339712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4268339712 is about 65332.5318046071. The cubic root of 4268339712 is about 1622.1325002760.

The spelling of 4268339712 in words is "four billion, two hundred sixty-eight million, three hundred thirty-nine thousand, seven hundred twelve".