Search a number
-
+
4134911328 = 2536192491
BaseRepresentation
bin1111011001110101…
…1011110101100000
3101200011120021000000
43312131123311200
531432014130303
61522145300000
7204316111032
oct36635336540
911604507000
104134911328
111832060099
12974934600
1350b8697c2
142b3231c52
15193023da3
hexf675bd60

4134911328 has 252 divisors, whose sum is σ = 12907757268. Its totient is φ = 1303102080.

The previous prime is 4134911303. The next prime is 4134911329. The reversal of 4134911328 is 8231194314.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4134911292 and 4134911301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134911329) 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 41 ways as a sum of consecutive naturals, for example, 8421163 + ... + 8421653.

It is an arithmetic number, because the mean of its divisors is an integer number (51221259).

Almost surely, 24134911328 is an apocalyptic number.

4134911328 is a gapful number since it is divisible by the number (48) 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 4134911328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453878634).

4134911328 is an abundant number, since it is smaller than the sum of its proper divisors (8772845940).

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

4134911328 is an equidigital number, since it uses as much as digits as its factorization.

4134911328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 515 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4134911328 is about 64303.2761840328. The cubic root of 4134911328 is about 1605.0506194185.

The spelling of 4134911328 in words is "four billion, one hundred thirty-four million, nine hundred eleven thousand, three hundred twenty-eight".