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4482720 = 2532511283
BaseRepresentation
bin10001000110011010100000
322102202010200
4101012122200
52121421340
6240025200
753050104
oct21063240
98382120
104482720
112591a30
121602200
13c0c4c8
14849904
155d8330
hex4466a0

4482720 has 144 divisors (see below), whose sum is σ = 16746912. Its totient is φ = 1082880.

The previous prime is 4482703. The next prime is 4482721. The reversal of 4482720 is 272844.

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

It is not an unprimeable number, because it can be changed into a prime (4482721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15699 + ... + 15981.

It is an arithmetic number, because the mean of its divisors is an integer number (116298).

Almost surely, 24482720 is an apocalyptic number.

4482720 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 4482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373456).

4482720 is an abundant number, since it is smaller than the sum of its proper divisors (12264192).

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

4482720 is a wasteful number, since it uses less digits than its factorization.

4482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

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

The square root of 4482720 is about 2117.2434909571. The cubic root of 4482720 is about 164.8847680284.

The spelling of 4482720 in words is "four million, four hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 283 288 330 352 360 396 440 480 495 528 566 660 720 792 849 880 990 1056 1132 1320 1415 1440 1584 1698 1760 1980 2264 2547 2640 2830 3113 3168 3396 3960 4245 4528 5094 5280 5660 6226 6792 7920 8490 9056 9339 10188 11320 12452 12735 13584 15565 15840 16980 18678 20376 22640 24904 25470 27168 28017 31130 33960 37356 40752 45280 46695 49808 50940 56034 62260 67920 74712 81504 93390 99616 101880 112068 124520 135840 140085 149424 186780 203760 224136 249040 280170 298848 373560 407520 448272 498080 560340 747120 896544 1120680 1494240 2241360 4482720