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444542418 = 234173141127
BaseRepresentation
bin11010011111110…
…010110111010010
31010222111002120000
4122133302313102
51402300324133
6112040030430
714005356015
oct3237626722
91128432500
10444542418
11208a29331
12104a62416
1371138868
144307b37c
1529061413
hex1a7f2dd2

444542418 has 160 divisors (see below), whose sum is σ = 1124057088. Its totient is φ = 130636800.

The previous prime is 444542393. The next prime is 444542419. The reversal of 444542418 is 814245444.

It is a super-2 number, since 2×4445424182 = 395235922802573448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444542419) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3500271 + ... + 3500397.

Almost surely, 2444542418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444542418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562028544).

444542418 is an abundant number, since it is smaller than the sum of its proper divisors (679514670).

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

444542418 is a wasteful number, since it uses less digits than its factorization.

444542418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

The square root of 444542418 is about 21084.1745866420. The cubic root of 444542418 is about 763.1989001111.

The spelling of 444542418 in words is "four hundred forty-four million, five hundred forty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 41 51 54 62 81 82 93 102 123 127 153 162 186 246 254 279 306 369 381 459 527 558 697 738 762 837 918 1054 1107 1143 1271 1377 1394 1581 1674 2091 2159 2214 2286 2511 2542 2754 3162 3321 3429 3813 3937 4182 4318 4743 5022 5207 6273 6477 6642 6858 7626 7874 9486 10287 10414 11439 11811 12546 12954 14229 15621 18819 19431 20574 21607 22878 23622 28458 31242 34317 35433 37638 38862 42687 43214 46863 56457 58293 64821 66929 68634 70866 85374 88519 93726 102951 106299 112914 116586 129642 133858 140589 161417 174879 177038 194463 200787 205902 212598 265557 281178 318897 322834 349758 388926 401574 421767 484251 531114 583389 602361 637794 796671 843534 968502 1166778 1204722 1452753 1593342 1750167 1807083 2390013 2744089 2905506 3500334 3614166 4358259 4780026 5421249 5488178 7170039 8232267 8716518 10842498 13074777 14340078 16464534 24696801 26149554 49393602 74090403 148180806 222271209 444542418