Search a number
-
+
4422911328 = 2532113797389
BaseRepresentation
bin1000001111010000…
…00100010101100000
3102102020111011201200
410013220010111200
533024231130303
62010514201200
7214414061133
oct40750042540
912366434650
104422911328
11196a688820
12a35283200
135564255c4
142dd5a021a
151ad4623a3
hex107a04560

4422911328 has 288 divisors, whose sum is σ = 14273794080. Its totient is φ = 1287290880.

The previous prime is 4422911303. The next prime is 4422911399. The reversal of 4422911328 is 8231192244.

4422911328 is a `hidden beast` number, since 4 + 42 + 291 + 1 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4422911292 and 4422911301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11369758 + ... + 11370146.

It is an arithmetic number, because the mean of its divisors is an integer number (49561785).

Almost surely, 24422911328 is an apocalyptic number.

4422911328 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 4422911328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

4422911328 is an abundant number, since it is smaller than the sum of its proper divisors (9850882752).

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

4422911328 is a wasteful number, since it uses less digits than its factorization.

4422911328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4422911328 is about 66504.9722050916. The cubic root of 4422911328 is about 1641.4818215143.

The spelling of 4422911328 in words is "four billion, four hundred twenty-two million, nine hundred eleven thousand, three hundred twenty-eight".