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206439424 = 2104492
BaseRepresentation
bin11000100111000…
…00010000000000
3112101110012122121
430103200100000
5410322030144
632252414024
75054464132
oct1423402000
9471405577
10206439424
11a6590aa4
1259177314
1333a00309
141d5bb052
15131cc384
hexc4e0400

206439424 has 33 divisors (see below), whose sum is σ = 413598397. Its totient is φ = 102989824.

The previous prime is 206439419. The next prime is 206439439. The reversal of 206439424 is 424934602.

The square root of 206439424 is 14368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 80281600 = 11232^2 + 8960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206439424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 459552 + ... + 460000.

Almost surely, 2206439424 is an apocalyptic number.

206439424 is the 14368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206439424

206439424 is an abundant number, since it is smaller than the sum of its proper divisors (207158973).

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

206439424 is an frugal number, since it uses more digits than its factorization.

206439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The cubic root of 206439424 is about 591.0136973453.

The spelling of 206439424 in words is "two hundred six million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 449 512 898 1024 1796 3592 7184 14368 28736 57472 114944 201601 229888 403202 459776 806404 1612808 3225616 6451232 12902464 25804928 51609856 103219712 206439424