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8282620416 = 29373672099
BaseRepresentation
bin1111011011010111…
…01100001000000000
3210101020012201020010
413231223230020000
5113430322323131
63445513144520
7412152053250
oct75553541000
923336181203
108282620416
113570361344
1217319bb140
13a1cc67435
14588035960
15337224b46
hex1edaec200

8282620416 has 160 divisors (see below), whose sum is σ = 25298380800. Its totient is φ = 2358890496.

The previous prime is 8282620403. The next prime is 8282620417. The reversal of 8282620416 is 6140262828.

It is not an unprimeable number, because it can be changed into a prime (8282620417) 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, 3944935 + ... + 3947033.

It is an arithmetic number, because the mean of its divisors is an integer number (158114880).

Almost surely, 28282620416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8282620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649190400).

8282620416 is an abundant number, since it is smaller than the sum of its proper divisors (17015760384).

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

8282620416 is a wasteful number, since it uses less digits than its factorization.

8282620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 8282620416 is about 91008.9029491071. The cubic root of 8282620416 is about 2023.2796782675.

The spelling of 8282620416 in words is "eight billion, two hundred eighty-two million, six hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 367 384 448 512 672 734 768 896 1101 1344 1468 1536 1792 2099 2202 2569 2688 2936 3584 4198 4404 5138 5376 5872 6297 7707 8396 8808 10276 10752 11744 12594 14693 15414 16792 17616 20552 23488 25188 29386 30828 33584 35232 41104 44079 46976 50376 58772 61656 67168 70464 82208 88158 93952 100752 117544 123312 134336 140928 164416 176316 187904 201504 235088 246624 268672 281856 328832 352632 403008 470176 493248 537344 563712 657664 705264 770333 806016 940352 986496 1074688 1315328 1410528 1540666 1612032 1880704 1972992 2310999 2821056 3081332 3224064 3761408 3945984 4621998 5392331 5642112 6162664 7522816 9243996 10784662 11284224 12325328 16176993 18487992 21569324 22568448 24650656 32353986 36975984 43138648 49301312 64707972 73951968 86277296 98602624 129415944 147903936 172554592 197205248 258831888 295807872 345109184 394410496 517663776 591615744 690218368 1035327552 1183231488 1380436736 2070655104 2760873472 4141310208 8282620416