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550008800 = 25521162501
BaseRepresentation
bin100000110010000…
…111011111100000
31102022221100020022
4200302013133200
52111300240200
6130324333012
716425666125
oct4062073740
91368840208
10550008800
11262513830
12134244168
1389c444c3
145309274c
1533445885
hex20c877e0

550008800 has 72 divisors (see below), whose sum is σ = 1464796872. Its totient is φ = 200000000.

The previous prime is 550008799. The next prime is 550008817. The reversal of 550008800 is 8800055.

It is a super-3 number, since 3×5500088003 (a number of 27 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 550008800.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22451 + ... + 40050.

It is an arithmetic number, because the mean of its divisors is an integer number (20344401).

Almost surely, 2550008800 is an apocalyptic number.

550008800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

550008800 is an abundant number, since it is smaller than the sum of its proper divisors (914788072).

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

550008800 is a wasteful number, since it uses less digits than its factorization.

550008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62532 (or 62519 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 550008800 is about 23452.2664149971. The cubic root of 550008800 is about 819.3256402908.

Adding to 550008800 its reverse (8800055), we get a palindrome (558808855).

It can be divided in two parts, 55000 and 8800, that multiplied together give a square (484000000 = 220002).

The spelling of 550008800 in words is "five hundred fifty million, eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 62501 125002 250004 312505 500008 625010 687511 1000016 1250020 1375022 1562525 2000032 2500040 2750044 3125050 3437555 5000080 5500088 6250100 6875110 10000160 11000176 12500200 13750220 17187775 22000352 25000400 27500440 34375550 50000800 55000880 68751100 110001760 137502200 275004400 550008800