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206489856 = 283313859
BaseRepresentation
bin11000100111011…
…00100100000000
3112101112202211110
430103230210000
5410330133411
632253443320
75055064146
oct1423544400
9471482743
10206489856
11a6615981
12591a0540
1333a1a261
141d5d1596
15131dc2a6
hexc4ec900

206489856 has 72 divisors (see below), whose sum is σ = 551961760. Its totient is φ = 68530176.

The previous prime is 206489839. The next prime is 206489861. The reversal of 206489856 is 658984602.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239955 + ... + 240813.

Almost surely, 2206489856 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 206489856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275980880).

206489856 is an abundant number, since it is smaller than the sum of its proper divisors (345471904).

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

206489856 is an equidigital number, since it uses as much as digits as its factorization.

206489856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 206489856 is about 14369.7549039641. The cubic root of 206489856 is about 591.0618205435.

The spelling of 206489856 in words is "two hundred six million, four hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 626 768 859 939 1252 1718 1878 2504 2577 3436 3756 5008 5154 6872 7512 10016 10308 13744 15024 20032 20616 27488 30048 40064 41232 54976 60096 80128 82464 109952 120192 164928 219904 240384 268867 329856 537734 659712 806601 1075468 1613202 2150936 3226404 4301872 6452808 8603744 12905616 17207488 25811232 34414976 51622464 68829952 103244928 206489856