Base | Representation |
---|---|
bin | 1000010001110100… |
… | …11011011001010110 |
3 | 102110202010002000000 |
4 | 10020322123121112 |
5 | 33100243022330 |
6 | 2013005032130 |
7 | 215065432404 |
oct | 41072333126 |
9 | 12422102000 |
10 | 4444501590 |
11 | 1980894911 |
12 | a40555646 |
13 | 55aa447c9 |
14 | 3023c0474 |
15 | 1b02c9560 |
hex | 108e9b656 |
4444501590 has 112 divisors (see below), whose sum is σ = 12700590048. Its totient is φ = 1115451648.
The previous prime is 4444501499. The next prime is 4444501591. The reversal of 4444501590 is 951054444.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4444501591) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 105999 + ... + 141861.
Almost surely, 24444501590 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4444501590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350295024).
4444501590 is an abundant number, since it is smaller than the sum of its proper divisors (8256088458).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444501590 is a wasteful number, since it uses less digits than its factorization.
4444501590 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35905 (or 35890 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The square root of 4444501590 is about 66667.0952569557. The cubic root of 4444501590 is about 1644.1484295097.
It can be divided in two parts, 444450 and 1590, that added together give a triangular number (446040 = T944).
The spelling of 4444501590 in words is "four billion, four hundred forty-four million, five hundred one thousand, five hundred ninety".
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