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44272080 = 24325173617
BaseRepresentation
bin1010100011100…
…0100111010000
310002022020212200
42220320213100
542313201310
64220523200
71045210056
oct250704720
9102266780
1044272080
1122a992a6
12129b0500
1392311c8
145c461d6
153d479c0
hex2a389d0

44272080 has 120 divisors (see below), whose sum is σ = 157469832. Its totient is φ = 11108352.

The previous prime is 44272051. The next prime is 44272093. The reversal of 44272080 is 8027244.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 43718544 = 744^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10432 + ... + 14048.

Almost surely, 244272080 is an apocalyptic number.

44272080 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 44272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78734916).

44272080 is an abundant number, since it is smaller than the sum of its proper divisors (113197752).

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

44272080 is a wasteful number, since it uses less digits than its factorization.

44272080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 44272080 is about 6653.7267752741. The cubic root of 44272080 is about 353.7610184401.

The spelling of 44272080 in words is "forty-four million, two hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 3617 4080 6120 7234 10851 12240 14468 18085 21702 28936 32553 36170 43404 54255 57872 61489 65106 72340 86808 108510 122978 130212 144680 162765 173616 184467 217020 245956 260424 289360 307445 325530 368934 434040 491912 520848 553401 614890 651060 737868 868080 922335 983824 1106802 1229780 1302120 1475736 1844670 2213604 2459560 2604240 2767005 2951472 3689340 4427208 4919120 5534010 7378680 8854416 11068020 14757360 22136040 44272080