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44240000 = 2754779
BaseRepresentation
bin1010100011000…
…0110010000000
310002020121212112
42220300302000
542311140000
64220114452
71045014410
oct250606200
9102217775
1044240000
1122a77192
1212995a28
13921c71c
145c38640
153d3d235
hex2a30c80

44240000 has 160 divisors (see below), whose sum is σ = 127459200. Its totient is φ = 14976000.

The previous prime is 44239997. The next prime is 44240003. The reversal of 44240000 is 4244.

It is an interprime number because it is at equal distance from previous prime (44239997) and next prime (44240003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (44240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559961 + ... + 560039.

It is an arithmetic number, because the mean of its divisors is an integer number (796620).

Almost surely, 244240000 is an apocalyptic number.

44240000 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 44240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63729600).

44240000 is an abundant number, since it is smaller than the sum of its proper divisors (83219200).

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

44240000 is an frugal number, since it uses more digits than its factorization.

44240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 44240000 is about 6651.3156593264. The cubic root of 44240000 is about 353.6755515145.

Adding to 44240000 its reverse (4244), we get a palindrome (44244244).

The spelling of 44240000 in words is "forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 79 80 100 112 125 128 140 158 160 175 200 224 250 280 316 320 350 395 400 448 500 553 560 625 632 640 700 790 800 875 896 1000 1106 1120 1250 1264 1400 1580 1600 1750 1975 2000 2212 2240 2500 2528 2765 2800 3160 3200 3500 3950 4000 4375 4424 4480 5000 5056 5530 5600 6320 7000 7900 8000 8750 8848 9875 10000 10112 11060 11200 12640 13825 14000 15800 16000 17500 17696 19750 20000 22120 22400 25280 27650 28000 31600 35000 35392 39500 40000 44240 49375 50560 55300 56000 63200 69125 70000 70784 79000 80000 88480 98750 110600 112000 126400 138250 140000 158000 176960 197500 221200 252800 276500 280000 316000 345625 353920 395000 442400 553000 560000 632000 691250 790000 884800 1106000 1264000 1382500 1580000 1769600 2212000 2765000 3160000 4424000 5530000 6320000 8848000 11060000 22120000 44240000