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441471420 = 2232513375099
BaseRepresentation
bin11010010100000…
…101000110111100
31010202201001221100
4122110011012330
51401004041140
6111450133100
713640305455
oct3224050674
91122631840
10441471420
11207221015
12103a21190
1370601ac0
14428bc12c
1528b56530
hex1a5051bc

441471420 has 144 divisors (see below), whose sum is σ = 1481407200. Its totient is φ = 105712128.

The previous prime is 441471409. The next prime is 441471427. The reversal of 441471420 is 24174144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441471427) 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, 84031 + ... + 89129.

It is an arithmetic number, because the mean of its divisors is an integer number (10287550).

Almost surely, 2441471420 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 441471420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740703600).

441471420 is an abundant number, since it is smaller than the sum of its proper divisors (1039935780).

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

441471420 is a wasteful number, since it uses less digits than its factorization.

441471420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 441471420 is about 21011.2212876834. The cubic root of 441471420 is about 761.4373882482.

The spelling of 441471420 in words is "four hundred forty-one million, four hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5099 5772 6660 7215 8658 9620 10198 14430 15297 17316 20396 21645 25495 28860 30594 43290 45891 50990 61188 66287 76485 86580 91782 101980 132574 152970 183564 188663 198861 229455 265148 305940 331435 377326 397722 458910 565989 596583 662870 754652 795444 917820 943315 994305 1131978 1193166 1325740 1697967 1886630 1988610 2263956 2386332 2452619 2829945 2982915 3395934 3773260 3977220 4905238 5659890 5965830 6791868 7357857 8489835 9810476 11319780 11931660 12263095 14715714 16979670 22073571 24526190 29431428 33959340 36789285 44147142 49052380 73578570 88294284 110367855 147157140 220735710 441471420