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44245152 = 25327171291
BaseRepresentation
bin1010100011001…
…0000010100000
310002020212221100
42220302002200
542311321102
64220154400
71045035420
oct250620240
9102225840
1044245152
1122a80046
1212998a00
139221b83
145c3a480
153d3ea1c
hex2a320a0

44245152 has 144 divisors (see below), whose sum is σ = 152373312. Its totient is φ = 11888640.

The previous prime is 44245139. The next prime is 44245163. The reversal of 44245152 is 25154244.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33627 + ... + 34917.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 244245152 is an apocalyptic number.

44245152 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 44245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656).

44245152 is an abundant number, since it is smaller than the sum of its proper divisors (108128160).

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

44245152 is a wasteful number, since it uses less digits than its factorization.

44245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 44245152 is about 6651.7029398493. The cubic root of 44245152 is about 353.6892801592.

Adding to 44245152 its reverse (25154244), we get a palindrome (69399396).

The spelling of 44245152 in words is "forty-four million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1291 1428 1632 1904 2016 2142 2448 2582 2856 3808 3873 4284 4896 5164 5712 7746 8568 9037 10328 11424 11619 15492 17136 18074 20656 21947 23238 27111 30984 34272 36148 41312 43894 46476 54222 61968 65841 72296 81333 87788 92952 108444 123936 131682 144592 153629 162666 175576 185904 197523 216888 263364 289184 307258 325332 351152 371808 395046 433776 460887 526728 614516 650664 702304 790092 867552 921774 1053456 1229032 1301328 1382661 1580184 1843548 2106912 2458064 2602656 2765322 3160368 3687096 4916128 5530644 6320736 7374192 11061288 14748384 22122576 44245152