Base | Representation |
---|---|
bin | 1111110100111001… |
… | …0001111010000000 |
3 | 101222002002000101200 |
4 | 3331032101322000 |
5 | 32200041112013 |
6 | 1541321301200 |
7 | 210164424426 |
oct | 37516217200 |
9 | 11862060350 |
10 | 4248379008 |
11 | 1890110035 |
12 | 9a6934800 |
13 | 529217343 |
14 | 2c432b116 |
15 | 19ce88e73 |
hex | fd391e80 |
4248379008 has 96 divisors (see below), whose sum is σ = 12238913700. Its totient is φ = 1414533120.
The previous prime is 4248379007. The next prime is 4248379117. The reversal of 4248379008 is 8009738424.
4248379008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 4084743744 + 163635264 = 63912^2 + 12792^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (4248379007) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483498 + ... + 1486358.
Almost surely, 24248379008 is an apocalyptic number.
4248379008 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 4248379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119456850).
4248379008 is an abundant number, since it is smaller than the sum of its proper divisors (7990534692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4248379008 is a wasteful number, since it uses less digits than its factorization.
4248379008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4170 (or 4155 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The square root of 4248379008 is about 65179.5904252244. The cubic root of 4248379008 is about 1619.5999377918.
The spelling of 4248379008 in words is "four billion, two hundred forty-eight million, three hundred seventy-nine thousand, eight".
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