Base | Representation |
---|---|
bin | 1111111111000000… |
… | …0000010000000000 |
3 | 102002000211220102011 |
4 | 3333300000100000 |
5 | 32241414232031 |
6 | 1545434102304 |
7 | 211220656144 |
oct | 37760002000 |
9 | 12060756364 |
10 | 4290774016 |
11 | 1902037031 |
12 | 9b8b7a994 |
13 | 534c3c049 |
14 | 2c9c05224 |
15 | 1a1a606b1 |
hex | ffc00400 |
4290774016 has 99 divisors (see below), whose sum is σ = 9068379901. Its totient is φ = 2029051904.
The previous prime is 4290774013. The next prime is 4290774017. The reversal of 4290774016 is 6104770924.
The square root of 4290774016 is 65504.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 823919616 + 3466854400 = 28704^2 + 58880^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 4290774016.
It is not an unprimeable number, because it can be changed into a prime (4290774013) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 48210900 + ... + 48210988.
Almost surely, 24290774016 is an apocalyptic number.
4290774016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.
4290774016 is the 65504-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4290774016
4290774016 is an abundant number, since it is smaller than the sum of its proper divisors (4777605885).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4290774016 is an frugal number, since it uses more digits than its factorization.
4290774016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 244 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 84672, while the sum is 40.
The cubic root of 4290774016 is about 1624.9695004611.
The spelling of 4290774016 in words is "four billion, two hundred ninety million, seven hundred seventy-four thousand, sixteen".
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