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551200 = 25521353
BaseRepresentation
bin10000110100100100000
31001000002211
42012210200
5120114300
615451504
74453666
oct2064440
91030084
10551200
11347141
12226b94
13163b70
14104c36
15ad4ba
hex86920

551200 has 72 divisors (see below), whose sum is σ = 1476468. Its totient is φ = 199680.

The previous prime is 551197. The next prime is 551207. The reversal of 551200 is 2155.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 394384 = 396^2 + 628^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (551207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10374 + ... + 10426.

2551200 is an apocalyptic number.

551200 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 551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738234).

551200 is an abundant number, since it is smaller than the sum of its proper divisors (925268).

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

551200 is a wasteful number, since it uses less digits than its factorization.

551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 551200 is about 742.4284477308. The cubic root of 551200 is about 81.9916707780.

Adding to 551200 its reverse (2155), we get a palindrome (553355).

The spelling of 551200 in words is "five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 65 80 100 104 106 130 160 200 208 212 260 265 325 400 416 424 520 530 650 689 800 848 1040 1060 1300 1325 1378 1696 2080 2120 2600 2650 2756 3445 4240 5200 5300 5512 6890 8480 10400 10600 11024 13780 17225 21200 22048 27560 34450 42400 55120 68900 110240 137800 275600 551200