Search a number
-
+
441012 = 2231113257
BaseRepresentation
bin1101011101010110100
3211101221210
41223222310
5103103022
613241420
73514515
oct1535264
9741853
10441012
11281380
12193270
13125970
14b6a0c
158aa0c
hex6bab4

441012 has 48 divisors (see below), whose sum is σ = 1213632. Its totient is φ = 122880.

The previous prime is 441011. The next prime is 441029. The reversal of 441012 is 210144.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441011) 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 15 ways as a sum of consecutive naturals, for example, 1588 + ... + 1844.

It is an arithmetic number, because the mean of its divisors is an integer number (25284).

2441012 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 441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606816).

441012 is an abundant number, since it is smaller than the sum of its proper divisors (772620).

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

441012 is a wasteful number, since it uses less digits than its factorization.

441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 441012 is about 664.0873436529. The cubic root of 441012 is about 76.1173165042.

Adding to 441012 its reverse (210144), we get a palindrome (651156).

The spelling of 441012 in words is "four hundred forty-one thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 257 286 429 514 572 771 858 1028 1542 1716 2827 3084 3341 5654 6682 8481 10023 11308 13364 16962 20046 33924 36751 40092 73502 110253 147004 220506 441012