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441445032 = 23337417121
BaseRepresentation
bin11010010011111…
…110101010101000
31010202122201202000
4122103332222220
51401002220112
6111445411000
713640135520
oct3223765250
91122581660
10441445032
11207203206
12103a09a60
13705c2aa2
14428b2680
1528b4d7dc
hex1a4feaa8

441445032 has 128 divisors (see below), whose sum is σ = 1435795200. Its totient is φ = 123033600.

The previous prime is 441444959. The next prime is 441445057. The reversal of 441445032 is 230544144.

It is a happy number.

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 = 441444987 and 441445005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58432 + ... + 65552.

It is an arithmetic number, because the mean of its divisors is an integer number (11217150).

Almost surely, 2441445032 is an apocalyptic number.

441445032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441445032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717897600).

441445032 is an abundant number, since it is smaller than the sum of its proper divisors (994350168).

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

441445032 is a wasteful number, since it uses less digits than its factorization.

441445032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 441445032 is about 21010.5933281286. The cubic root of 441445032 is about 761.4222168545.

Adding to 441445032 its reverse (230544144), we get a palindrome (671989176).

The spelling of 441445032 in words is "four hundred forty-one million, four hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 6888 7121 7749 8856 10332 14242 15498 20664 21363 28484 30996 42726 49847 56968 61992 64089 85452 99694 128178 149541 170904 192267 199388 256356 291961 299082 384534 398776 448623 512712 583922 598164 769068 875883 897246 1167844 1196328 1345869 1538136 1751766 1794492 2043727 2335688 2627649 2691738 3503532 3588984 4087454 5255298 5383476 6131181 7007064 7882947 8174908 10510596 10766952 12262362 15765894 16349816 18393543 21021192 24524724 31531788 36787086 49049448 55180629 63063576 73574172 110361258 147148344 220722516 441445032