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84480300 = 22335267467
BaseRepresentation
bin1010000100100…
…01000100101100
312212222001012000
411002101010230
5133111332200
612214412300
72044033152
oct502210454
9185861160
1084480300
1143761333
1224361090
131466b758
14b3113d2
15763b300
hex509112c

84480300 has 144 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 22144320.

The previous prime is 84480299. The next prime is 84480349. The reversal of 84480300 is 308448.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180667 + ... + 181133.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 284480300 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 84480300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

84480300 is an abundant number, since it is smaller than the sum of its proper divisors (191752020).

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

84480300 is a wasteful number, since it uses less digits than its factorization.

84480300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84480300 is about 9191.3165542266. The cubic root of 84480300 is about 438.7850435886.

Adding to 84480300 its reverse (308448), we get a palindrome (84788748).

The spelling of 84480300 in words is "eighty-four million, four hundred eighty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 450 467 540 603 670 675 804 900 934 1005 1206 1340 1350 1401 1675 1809 1868 2010 2335 2412 2700 2802 3015 3350 3618 4020 4203 4670 5025 5604 6030 6700 7005 7236 8406 9045 9340 10050 11675 12060 12609 14010 15075 16812 18090 20100 21015 23350 25218 28020 30150 31289 35025 36180 42030 45225 46700 50436 60300 62578 63045 70050 84060 90450 93867 105075 125156 126090 140100 156445 180900 187734 210150 252180 281601 312890 315225 375468 420300 469335 563202 625780 630450 782225 844803 938670 1126404 1260900 1408005 1564450 1689606 1877340 2346675 2816010 3128900 3379212 4224015 4693350 5632020 7040025 8448030 9386700 14080050 16896060 21120075 28160100 42240150 84480300