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206628288 = 2632933673
BaseRepresentation
bin11000101000011…
…10010111000000
3112101210210201120
430110032113000
5410344101123
632300432240
75056211556
oct1424162700
9471723646
10206628288
11a66aa989
1259248680
1333a68279
141d629bd6
15132182e3
hexc50e5c0

206628288 has 56 divisors (see below), whose sum is σ = 548719248. Its totient is φ = 68622336.

The previous prime is 206628281. The next prime is 206628293. The reversal of 206628288 is 882826602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206628281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54420 + ... + 58092.

It is an arithmetic number, because the mean of its divisors is an integer number (9798558).

Almost surely, 2206628288 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 206628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274359624).

206628288 is an abundant number, since it is smaller than the sum of its proper divisors (342090960).

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

206628288 is a wasteful number, since it uses less digits than its factorization.

206628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 206628288 is about 14374.5708805515. The cubic root of 206628288 is about 591.1938747982.

The spelling of 206628288 in words is "two hundred six million, six hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 879 1172 1758 2344 3516 3673 4688 7032 7346 9376 11019 14064 14692 18752 22038 28128 29384 44076 56256 58768 88152 117536 176304 235072 352608 705216 1076189 2152378 3228567 4304756 6457134 8609512 12914268 17219024 25828536 34438048 51657072 68876096 103314144 206628288