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44253440 = 285711449
BaseRepresentation
bin1010100011010…
…0000100000000
310002021022022022
42220310010000
542312102230
64220301012
71045101530
oct250640400
9102238268
1044253440
1122a862a0
12129a1768
13922588a
145c3d4c0
153d421e5
hex2a34100

44253440 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 13762560.

The previous prime is 44253427. The next prime is 44253467. The reversal of 44253440 is 4435244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98336 + ... + 98784.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 244253440 is an apocalyptic number.

44253440 is a gapful number since it is divisible by the number (40) 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 44253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

44253440 is an abundant number, since it is smaller than the sum of its proper divisors (88197760).

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

44253440 is a wasteful number, since it uses less digits than its factorization.

44253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 44253440 is about 6652.3259090336. The cubic root of 44253440 is about 353.7113631340.

Adding to 44253440 its reverse (4435244), we get a palindrome (48688684).

The spelling of 44253440 in words is "forty-four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 449 560 616 640 704 770 880 896 898 1120 1232 1280 1408 1540 1760 1792 1796 2240 2245 2464 2816 3080 3143 3520 3592 4480 4490 4928 4939 6160 6286 7040 7184 8960 8980 9856 9878 12320 12572 14080 14368 15715 17960 19712 19756 24640 24695 25144 28736 31430 34573 35920 39512 49280 49390 50288 57472 62860 69146 71840 79024 98560 98780 100576 114944 125720 138292 143680 158048 172865 197560 201152 251440 276584 287360 316096 345730 395120 402304 502880 553168 574720 632192 691460 790240 804608 1005760 1106336 1264384 1382920 1580480 2011520 2212672 2765840 3160960 4023040 4425344 5531680 6321920 8850688 11063360 22126720 44253440