Base | Representation |
---|---|
bin | 11010011110000… |
… | …110111000100100 |
3 | 1010221122121212001 |
4 | 122132012320210 |
5 | 1402142201012 |
6 | 112022335044 |
7 | 14001534400 |
oct | 3236067044 |
9 | 1127577761 |
10 | 444100132 |
11 | 208757003 |
12 | 10488a484 |
13 | 71012458 |
14 | 42da4100 |
15 | 28ec5357 |
hex | 1a786e24 |
444100132 has 36 divisors (see below), whose sum is σ = 914986800. Its totient is φ = 188028624.
The previous prime is 444100103. The next prime is 444100147. The reversal of 444100132 is 231001444.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2619 + ... + 29917.
It is an arithmetic number, because the mean of its divisors is an integer number (25416300).
Almost surely, 2444100132 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 444100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457493400).
444100132 is an abundant number, since it is smaller than the sum of its proper divisors (470886668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444100132 is a wasteful number, since it uses less digits than its factorization.
444100132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27400 (or 27391 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 444100132 is about 21073.6833989694. The cubic root of 444100132 is about 762.9457077773.
Adding to 444100132 its reverse (231001444), we get a palindrome (675101576).
It can be divided in two parts, 444 and 100132, that added together give a triangular number (100576 = T448).
The spelling of 444100132 in words is "four hundred forty-four million, one hundred thousand, one hundred thirty-two".
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