[go: up one dir, main page]

Search a number
-
+
208368288 = 2534194231
BaseRepresentation
bin11000110101101…
…11001010100000
3112112002012120000
430122313022200
5411320241123
632402020000
75110046502
oct1432671240
9475065500
10208368288
11a76891a7
1259947600
133422725b
141d95dd72
151345db43
hexc6b72a0

208368288 has 120 divisors (see below), whose sum is σ = 645210720. Its totient is φ = 65784960.

The previous prime is 208368257. The next prime is 208368299. The reversal of 208368288 is 882863802.

208368288 is a `hidden beast` number, since 2 + 0 + 8 + 368 + 288 = 666.

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 19 ways as a sum of consecutive naturals, for example, 47133 + ... + 51363.

It is an arithmetic number, because the mean of its divisors is an integer number (5376756).

Almost surely, 2208368288 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 208368288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322605360).

208368288 is an abundant number, since it is smaller than the sum of its proper divisors (436842432).

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

208368288 is a wasteful number, since it uses less digits than its factorization.

208368288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 208368288 is about 14434.9675441270. The cubic root of 208368288 is about 592.8487035662.

The spelling of 208368288 in words is "two hundred eight million, three hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 4231 5472 6156 8208 8462 12312 12693 16416 16924 24624 25386 33848 38079 49248 50772 67696 76158 80389 101544 114237 135392 152316 160778 203088 228474 241167 304632 321556 342711 406176 456948 482334 609264 643112 685422 723501 913896 964668 1218528 1286224 1370844 1447002 1827792 1929336 2170503 2572448 2741688 2894004 3655584 3858672 4341006 5483376 5788008 6511509 7717344 8682012 10966752 11576016 13023018 17364024 23152032 26046036 34728048 52092072 69456096 104184144 208368288