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5486800 = 2452112943
BaseRepresentation
bin10100111011100011010000
3101022202110211
4110323203100
52401034200
6313333504
764431334
oct24734320
911282424
105486800
113108350
121a07294
1311a1537
14a2b7c4
15735aba
hex53b8d0

5486800 has 120 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 1881600.

The previous prime is 5486777. The next prime is 5486807. The reversal of 5486800 is 86845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5486807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127579 + ... + 127621.

It is an arithmetic number, because the mean of its divisors is an integer number (126852).

Almost surely, 25486800 is an apocalyptic number.

5486800 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 5486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

5486800 is an abundant number, since it is smaller than the sum of its proper divisors (9735440).

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

5486800 is a wasteful number, since it uses less digits than its factorization.

5486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5486800 is about 2342.3919398768. The cubic root of 5486800 is about 176.3760897109.

The spelling of 5486800 in words is "five million, four hundred eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 43 44 50 55 58 80 86 88 100 110 116 145 172 176 200 215 220 232 275 290 319 344 400 430 440 464 473 550 580 638 688 725 860 880 946 1075 1100 1160 1247 1276 1450 1595 1720 1892 2150 2200 2320 2365 2494 2552 2900 3190 3440 3784 4300 4400 4730 4988 5104 5800 6235 6380 7568 7975 8600 9460 9976 11600 11825 12470 12760 13717 15950 17200 18920 19952 23650 24940 25520 27434 31175 31900 37840 47300 49880 54868 62350 63800 68585 94600 99760 109736 124700 127600 137170 189200 219472 249400 274340 342925 498800 548680 685850 1097360 1371700 2743400 5486800