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4442438196 = 223472299649
BaseRepresentation
bin1000010001100101…
…00011101000110100
3102110121020020120000
410020302203220310
533044231010241
62012452511300
7215042046600
oct41062435064
912417206500
104442438196
11197a705629
12a3b91b530
1355a4a1571
14302004500
151b001ceb6
hex108ca3a34

4442438196 has 180 divisors, whose sum is σ = 13976770500. Its totient is φ = 1225373184.

The previous prime is 4442438183. The next prime is 4442438213. The reversal of 4442438196 is 6918342444.

4442438196 is a `hidden beast` number, since 4 + 4 + 424 + 38 + 196 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1298593296 + 3143844900 = 36036^2 + 56070^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 455580 + ... + 465228.

It is an arithmetic number, because the mean of its divisors is an integer number (77648725).

Almost surely, 24442438196 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 4442438196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988385250).

4442438196 is an abundant number, since it is smaller than the sum of its proper divisors (9534332304).

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

4442438196 is a wasteful number, since it uses less digits than its factorization.

4442438196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9690 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4442438196 is about 66651.6181048892. The cubic root of 4442438196 is about 1643.8939539461.

The spelling of 4442438196 in words is "four billion, four hundred forty-two million, four hundred thirty-eight thousand, one hundred ninety-six".