Base | Representation |
---|---|
bin | 1111110011111001… |
… | …1000111010000000 |
3 | 101221210020101020000 |
4 | 3330332120322000 |
5 | 32143004312001 |
6 | 1541052120000 |
7 | 210114134634 |
oct | 37476307200 |
9 | 11853211200 |
10 | 4244213376 |
11 | 1888825367 |
12 | 9a5466000 |
13 | 5283b9280 |
14 | 2c3964dc4 |
15 | 19c914a86 |
hex | fcf98e80 |
4244213376 has 160 divisors (see below), whose sum is σ = 13602735300. Its totient is φ = 1305870336.
The previous prime is 4244213339. The next prime is 4244213377. The reversal of 4244213376 is 6733124424.
It can be written as a sum of positive squares in 2 ways, for example, as 4152513600 + 91699776 = 64440^2 + 9576^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 4244213376.
It is not an unprimeable number, because it can be changed into a prime (4244213377) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119040 + ... + 150528.
Almost surely, 24244213376 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 4244213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801367650).
4244213376 is an abundant number, since it is smaller than the sum of its proper divisors (9358521924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4244213376 is a wasteful number, since it uses less digits than its factorization.
4244213376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31528 (or 31507 counting only the distinct ones).
The product of its digits is 96768, while the sum is 36.
The square root of 4244213376 is about 65147.6275546547. The cubic root of 4244213376 is about 1619.0704131895.
The spelling of 4244213376 in words is "four billion, two hundred forty-four million, two hundred thirteen thousand, three hundred seventy-six".
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