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5480418300 = 22352712720549
BaseRepresentation
bin1010001101010100…
…01000101111111100
3112010221101002120120
411012222020233330
542210441341200
62303452214540
7252544533630
oct50652105774
915127332516
105480418300
11236260a425
12108b46a450
13694548a86
1439dbdadc0
152212029a0
hex146a88bfc

5480418300 has 144 divisors (see below), whose sum is σ = 18265497600. Its totient is φ = 1242743040.

The previous prime is 5480418263. The next prime is 5480418323. The reversal of 5480418300 is 38140845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256426 + ... + 276974.

Almost surely, 25480418300 is an apocalyptic number.

5480418300 is a gapful number since it is divisible by the number (50) 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 5480418300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132748800).

5480418300 is an abundant number, since it is smaller than the sum of its proper divisors (12785079300).

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

5480418300 is a wasteful number, since it uses less digits than its factorization.

5480418300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20700 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5480418300 is about 74029.8473590213. The cubic root of 5480418300 is about 1763.0768214112.

The spelling of 5480418300 in words is "five billion, four hundred eighty million, four hundred eighteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 127 140 150 175 210 254 300 350 381 420 508 525 635 700 762 889 1050 1270 1524 1778 1905 2100 2540 2667 3175 3556 3810 4445 5334 6350 7620 8890 9525 10668 12700 13335 17780 19050 20549 22225 26670 38100 41098 44450 53340 61647 66675 82196 88900 102745 123294 133350 143843 205490 246588 266700 287686 308235 410980 431529 513725 575372 616470 719215 863058 1027450 1232940 1438430 1541175 1726116 2054900 2157645 2609723 2876860 3082350 3596075 4315290 5219446 6164700 7192150 7829169 8630580 10438892 10788225 13048615 14384300 15658338 18268061 21576450 26097230 31316676 36536122 39145845 43152900 52194460 54804183 65243075 73072244 78291690 91340305 109608366 130486150 156583380 182680610 195729225 219216732 260972300 274020915 365361220 391458450 456701525 548041830 782916900 913403050 1096083660 1370104575 1826806100 2740209150 5480418300