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44270720 = 2751317313
BaseRepresentation
bin1010100011100…
…0010010000000
310002022012000022
42220320102000
542313130340
64220513012
71045203104
oct250702200
9102265008
1044270720
1122a9827a
12129ab768
1392306c0
145c45904
153d473b5
hex2a38480

44270720 has 128 divisors (see below), whose sum is σ = 121065840. Its totient is φ = 15335424.

The previous prime is 44270713. The next prime is 44270729. The reversal of 44270720 is 2707244.

It can be written as a sum of positive squares in 8 ways, for example, as 4227136 + 40043584 = 2056^2 + 6328^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 44270720.

It is not an unprimeable number, because it can be changed into a prime (44270729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141284 + ... + 141596.

Almost surely, 244270720 is an apocalyptic number.

44270720 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 44270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60532920).

44270720 is an abundant number, since it is smaller than the sum of its proper divisors (76795120).

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

44270720 is a wasteful number, since it uses less digits than its factorization.

44270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 44270720 is about 6653.6245761239. The cubic root of 44270720 is about 353.7573959922.

Adding to 44270720 its reverse (2707244), we get a palindrome (46977964).

It can be divided in two parts, 4 and 4270720, that added together give a palindrome (4270724).

The spelling of 44270720 in words is "forty-four million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 260 272 313 320 340 416 442 520 544 626 640 680 832 884 1040 1088 1105 1252 1360 1565 1664 1768 2080 2176 2210 2504 2720 3130 3536 4069 4160 4420 5008 5321 5440 6260 7072 8138 8320 8840 10016 10642 10880 12520 14144 16276 17680 20032 20345 21284 25040 26605 28288 32552 35360 40064 40690 42568 50080 53210 65104 69173 70720 81380 85136 100160 106420 130208 138346 141440 162760 170272 200320 212840 260416 276692 325520 340544 345865 425680 520832 553384 651040 681088 691730 851360 1106768 1302080 1383460 1702720 2213536 2604160 2766920 3405440 4427072 5533840 8854144 11067680 22135360 44270720