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2988002808 = 2332710357559
BaseRepresentation
bin1011001000011001…
…0100110111111000
321201020110021021200
42302012110313320
522104412042213
61212255134200
7134021414310
oct26206246770
97636407250
102988002808
1112a371680a
126b4814360
133880738cb
14204ba2440
151274c4273
hexb2194df8

2988002808 has 96 divisors (see below), whose sum is σ = 9338534400. Its totient is φ = 845411904.

The previous prime is 2988002803. The next prime is 2988002813. The reversal of 2988002808 is 8082008892.

2988002808 is a `hidden beast` number, since 298 + 80 + 0 + 280 + 8 = 666.

2988002808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2988002803) and next prime (2988002813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988002803) 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, 23133 + ... + 80691.

It is an arithmetic number, because the mean of its divisors is an integer number (97276400).

Almost surely, 22988002808 is an apocalyptic number.

2988002808 is a gapful number since it is divisible by the number (28) 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 2988002808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669267200).

2988002808 is an abundant number, since it is smaller than the sum of its proper divisors (6350531592).

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

2988002808 is a wasteful number, since it uses less digits than its factorization.

2988002808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57681 (or 57674 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2988002808 is about 54662.6271596966. The cubic root of 2988002808 is about 1440.3244523538.

The spelling of 2988002808 in words is "two billion, nine hundred eighty-eight million, two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 206 252 309 412 504 618 721 824 927 1236 1442 1854 2163 2472 2884 3708 4326 5768 6489 7416 8652 12978 17304 25956 51912 57559 115118 172677 230236 345354 402913 460472 518031 690708 805826 1036062 1208739 1381416 1611652 2072124 2417478 3223304 3626217 4144248 4834956 5928577 7252434 9669912 11857154 14504868 17785731 23714308 29009736 35571462 41500039 47428616 53357193 71142924 83000078 106714386 124500117 142285848 166000156 213428772 249000234 332000312 373500351 426857544 498000468 747000702 996000936 1494001404 2988002808