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441126 = 2347389
BaseRepresentation
bin1101011101100100110
3211102010000
41223230212
5103104001
613242130
73515040
oct1535446
9742100
10441126
11281474
12193346
13125a2a
14b6a90
158aa86
hex6bb26

441126 has 40 divisors (see below), whose sum is σ = 1132560. Its totient is φ = 125712.

The previous prime is 441121. The next prime is 441127. The reversal of 441126 is 621144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 441099 and 441108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441121) by changing a digit.

441126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 19 ways as a sum of consecutive naturals, for example, 940 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (28314).

2441126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566280).

441126 is an abundant number, since it is smaller than the sum of its proper divisors (691434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441126 is a wasteful number, since it uses less digits than its factorization.

441126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 441126 is about 664.1731701898. The cubic root of 441126 is about 76.1238746224.

Adding to 441126 its sum of digits (18), we get a palindrome (441144).

The spelling of 441126 in words is "four hundred forty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 389 567 778 1134 1167 2334 2723 3501 5446 7002 8169 10503 16338 21006 24507 31509 49014 63018 73521 147042 220563 441126