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5626800 = 243352521
BaseRepresentation
bin10101011101101110110000
3101120212112000
4111131232300
52420024200
6320334000
765553444
oct25355660
911525460
105626800
1131a3553
121a74300
13122018a
14a66824
15762300
hex55dbb0

5626800 has 120 divisors (see below), whose sum is σ = 20065680. Its totient is φ = 1497600.

The previous prime is 5626769. The next prime is 5626807. The reversal of 5626800 is 86265.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (5626807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10540 + ... + 11060.

It is an arithmetic number, because the mean of its divisors is an integer number (167214).

Almost surely, 25626800 is an apocalyptic number.

5626800 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 5626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032840).

5626800 is an abundant number, since it is smaller than the sum of its proper divisors (14438880).

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

5626800 is a wasteful number, since it uses less digits than its factorization.

5626800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5626800 is about 2372.0876880925. The cubic root of 5626800 is about 177.8636332990.

The spelling of 5626800 in words is "five million, six hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 521 540 600 675 720 900 1042 1080 1200 1350 1563 1800 2084 2160 2605 2700 3126 3600 4168 4689 5210 5400 6252 7815 8336 9378 10420 10800 12504 13025 14067 15630 18756 20840 23445 25008 26050 28134 31260 37512 39075 41680 46890 52100 56268 62520 70335 75024 78150 93780 104200 112536 117225 125040 140670 156300 187560 208400 225072 234450 281340 312600 351675 375120 468900 562680 625200 703350 937800 1125360 1406700 1875600 2813400 5626800