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5558800 = 2452131069
BaseRepresentation
bin10101001101001000010000
3101110102020111
4111031020100
52410340200
6315051104
765151262
oct25151020
911412214
105558800
113157455
121a40a94
1311c8240
14a49b32
1574c0ba
hex54d210

5558800 has 60 divisors (see below), whose sum is σ = 14395780. Its totient is φ = 2050560.

The previous prime is 5558783. The next prime is 5558837. The reversal of 5558800 is 88555.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 4892944 = 816^2 + 2212^2 .

It is an Ulam number.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4666 + ... + 5734.

Almost surely, 25558800 is an apocalyptic number.

5558800 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 5558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197890).

5558800 is an abundant number, since it is smaller than the sum of its proper divisors (8836980).

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

5558800 is a wasteful number, since it uses less digits than its factorization.

5558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The square root of 5558800 is about 2357.7107541003. The cubic root of 5558800 is about 177.1442321879.

The spelling of 5558800 in words is "five million, five hundred fifty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1069 1300 2138 2600 4276 5200 5345 8552 10690 13897 17104 21380 26725 27794 42760 53450 55588 69485 85520 106900 111176 138970 213800 222352 277940 347425 427600 555880 694850 1111760 1389700 2779400 5558800