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441027018 = 2353173401
BaseRepresentation
bin11010010010011…
…000100111001010
31010201212111100000
4122102120213022
51400400331033
6111432423430
713633445025
oct3222304712
91121774300
10441027018
11206a48143
12103847b76
13704a7743
14428041bc
1528ab9a13
hex1a4989ca

441027018 has 96 divisors (see below), whose sum is σ = 1039514112. Its totient is φ = 139968000.

The previous prime is 441026969. The next prime is 441027019. The reversal of 441027018 is 810720144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 441026982 and 441027000.

It is not an unprimeable number, because it can be changed into a prime (441027019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099618 + ... + 1100018.

It is an arithmetic number, because the mean of its divisors is an integer number (10828272).

Almost surely, 2441027018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441027018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519757056).

441027018 is an abundant number, since it is smaller than the sum of its proper divisors (598487094).

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

441027018 is a wasteful number, since it uses less digits than its factorization.

441027018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 441027018 is about 21000.6432758618. The cubic root of 441027018 is about 761.1818051459.

The spelling of 441027018 in words is "four hundred forty-one million, twenty-seven thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 73 81 93 146 162 186 219 243 279 401 438 486 558 657 802 837 1203 1314 1674 1971 2263 2406 2511 3609 3942 4526 5022 5913 6789 7218 7533 10827 11826 12431 13578 15066 17739 20367 21654 24862 29273 32481 35478 37293 40734 58546 61101 64962 74586 87819 97443 111879 122202 175638 183303 194886 223758 263457 335637 366606 526914 549909 671274 790371 907463 1006911 1099818 1580742 1814926 2013822 2371113 2722389 3020733 4742226 5444778 6041466 7113339 8167167 14226678 16334334 24501501 49003002 73504503 147009006 220513509 441027018