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444524112 = 24342271511
BaseRepresentation
bin11010011111101…
…110011001010000
31010222110011110000
4122133232121100
51402244232422
6112035410000
714005251444
oct3237563120
91128404400
10444524112
11208a165aa
12104a53900
1371130426
1443074824
152905acac
hex1a7ee650

444524112 has 100 divisors (see below), whose sum is σ = 1293104736. Its totient is φ = 147424320.

The previous prime is 444524099. The next prime is 444524123. The reversal of 444524112 is 211425444.

It is a super-2 number, since 2×4445241122 = 395203372298777088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 293437 + ... + 294947.

Almost surely, 2444524112 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 444524112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646552368).

444524112 is an abundant number, since it is smaller than the sum of its proper divisors (848580624).

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

444524112 is a wasteful number, since it uses less digits than its factorization.

444524112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 444524112 is about 21083.7404651072. The cubic root of 444524112 is about 763.1884239374.

Adding to 444524112 its reverse (211425444), we get a palindrome (655949556).

The spelling of 444524112 in words is "four hundred forty-four million, five hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 227 324 432 454 648 681 908 1296 1362 1511 1816 2043 2724 3022 3632 4086 4533 5448 6044 6129 8172 9066 10896 12088 12258 13599 16344 18132 18387 24176 24516 27198 32688 36264 36774 40797 49032 54396 72528 73548 81594 98064 108792 122391 147096 163188 217584 244782 294192 326376 342997 489564 652752 685994 979128 1028991 1371988 1958256 2057982 2743976 3086973 4115964 5487952 6173946 8231928 9260919 12347892 16463856 18521838 24695784 27782757 37043676 49391568 55565514 74087352 111131028 148174704 222262056 444524112