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8048990300 = 225213232411117
BaseRepresentation
bin1110111111100000…
…11101100001011100
3202202221121001221212
413133300131201130
5112441020142200
63410405443552
7403314201011
oct73760354134
922687531855
108048990300
1134604995aa
1216877105b8
139b3736a70
14564dbb708
15321976035
hex1dfc1d85c

8048990300 has 144 divisors (see below), whose sum is σ = 19726779072. Its totient is φ = 2828390400.

The previous prime is 8048990297. The next prime is 8048990351. The reversal of 8048990300 is 30998408.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7205342 + ... + 7206458.

Almost surely, 28048990300 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 8048990300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863389536).

8048990300 is an abundant number, since it is smaller than the sum of its proper divisors (11677788772).

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

8048990300 is a wasteful number, since it uses less digits than its factorization.

8048990300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 8048990300 is about 89716.1652100668. The cubic root of 8048990300 is about 2004.0742197310.

The spelling of 8048990300 in words is "eight billion, forty-eight million, nine hundred ninety thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 241 260 299 325 460 482 575 598 650 964 1117 1150 1196 1205 1300 1495 2234 2300 2410 2990 3133 4468 4820 5543 5585 5980 6025 6266 7475 11086 11170 12050 12532 14521 14950 15665 22172 22340 24100 25691 27715 27925 29042 29900 31330 51382 55430 55850 58084 62660 72059 72605 78325 102764 110860 111700 128455 138575 144118 145210 156650 256910 269197 277150 288236 290420 313300 333983 360295 363025 513820 538394 554300 642275 667966 720590 726050 1076788 1284550 1335932 1345985 1441180 1452100 1669915 1801475 2569100 2691970 3339830 3499561 3602950 5383940 6191531 6679660 6729925 6999122 7205900 8349575 12383062 13459850 13998244 16699150 17497805 24766124 26919700 30957655 33398300 34995610 61915310 69991220 80489903 87489025 123830620 154788275 160979806 174978050 309576550 321959612 349956100 402449515 619153100 804899030 1609798060 2012247575 4024495150 8048990300