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8482446480 = 2435175339227
BaseRepresentation
bin1111110011001011…
…11101110010010000
3210220011012221001110
413321211331302100
5114333001241410
63521412133320
7420126414444
oct77145756220
923804187043
108482446480
113663135652
121788907240
13a52490501
145a67b0824
15349a47720
hex1f997dc90

8482446480 has 160 divisors (see below), whose sum is σ = 28368434304. Its totient is φ = 2088706048.

The previous prime is 8482446449. The next prime is 8482446491. The reversal of 8482446480 is 846442848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196627 + ... + 235853.

Almost surely, 28482446480 is an apocalyptic number.

8482446480 is a gapful number since it is divisible by the number (80) 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 8482446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184217152).

8482446480 is an abundant number, since it is smaller than the sum of its proper divisors (19885987824).

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

8482446480 is a wasteful number, since it uses less digits than its factorization.

8482446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39313 (or 39307 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The square root of 8482446480 is about 92100.1980453897. The cubic root of 8482446480 is about 2039.4217315215.

The spelling of 8482446480 in words is "eight billion, four hundred eighty-two million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 2040 2120 2544 2703 3180 3604 4080 4240 4505 5406 6360 7208 9010 10812 12720 13515 14416 18020 21624 27030 36040 39227 43248 54060 72080 78454 108120 117681 156908 196135 216240 235362 313816 392270 470724 588405 627632 666859 784540 941448 1176810 1333718 1569080 1882896 2000577 2079031 2353620 2667436 3138160 3334295 4001154 4158062 4707240 5334872 6237093 6668590 8002308 8316124 9414480 10002885 10395155 10669744 12474186 13337180 16004616 16632248 20005770 20790310 24948372 26674360 31185465 32009232 33264496 35343527 40011540 41580620 49896744 53348720 62370930 70687054 80023080 83161240 99793488 106030581 124741860 141374108 160046160 166322480 176717635 212061162 249483720 282748216 353435270 424122324 498967440 530152905 565496432 706870540 848244648 1060305810 1413741080 1696489296 2120611620 2827482160 4241223240 8482446480