Search a number
-
+
3913395444 = 2235717231471
BaseRepresentation
bin1110100101000001…
…1010110011110100
3101002201202002100000
43221100122303310
531003312123234
61444153351300
7165656212110
oct35120326364
911081662300
103913395444
111729011a12
12912708530
134a49bb10a
14291a4c740
1517d869899
hexe941acf4

3913395444 has 288 divisors, whose sum is σ = 12962267136. Its totient is φ = 1005903360.

The previous prime is 3913395419. The next prime is 3913395449. The reversal of 3913395444 is 4445933193.

It is a happy number.

3913395444 is a `hidden beast` number, since 3 + 91 + 33 + 95 + 444 = 666.

3913395444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39133954442 = 30629327802239914272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3913395444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913395449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2659629 + ... + 2661099.

It is an arithmetic number, because the mean of its divisors is an integer number (45007872).

Almost surely, 23913395444 is an apocalyptic number.

3913395444 is a gapful number since it is divisible by the number (34) 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 3913395444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481133568).

3913395444 is an abundant number, since it is smaller than the sum of its proper divisors (9048871692).

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

3913395444 is a wasteful number, since it uses less digits than its factorization.

3913395444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1523 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3913395444 is about 62557.1374345086. The cubic root of 3913395444 is about 1575.8610149322.

The spelling of 3913395444 in words is "three billion, nine hundred thirteen million, three hundred ninety-five thousand, four hundred forty-four".