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494208 = 27331113
BaseRepresentation
bin1111000101010000000
3221002221000
41320222000
5111303313
614332000
74125561
oct1705200
9832830
10494208
11308340
121ba000
13143c40
14cc168
159b673
hex78a80

494208 has 128 divisors (see below), whose sum is σ = 1713600. Its totient is φ = 138240.

The previous prime is 494191. The next prime is 494213. The reversal of 494208 is 802494.

494208 = 23 + 33 + ... + 373.

It is a Cunningham number, because it is equal to 7032-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

494208 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 38010 + ... + 38022.

2494208 is an apocalyptic number.

494208 is a gapful number since it is divisible by the number (48) 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 494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800).

494208 is an abundant number, since it is smaller than the sum of its proper divisors (1219392).

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

494208 is a wasteful number, since it uses less digits than its factorization.

494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 494208 is about 702.9992887621. Note that the first 3 decimals coincide. The cubic root of 494208 is about 79.0623872943.

The spelling of 494208 in words is "four hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 104 108 117 128 132 143 144 156 176 192 198 208 216 234 264 286 288 297 312 351 352 384 396 416 429 432 468 528 572 576 594 624 702 704 792 832 858 864 936 1056 1144 1152 1188 1248 1287 1404 1408 1584 1664 1716 1728 1872 2112 2288 2376 2496 2574 2808 3168 3432 3456 3744 3861 4224 4576 4752 4992 5148 5616 6336 6864 7488 7722 9152 9504 10296 11232 12672 13728 14976 15444 18304 19008 20592 22464 27456 30888 38016 41184 44928 54912 61776 82368 123552 164736 247104 494208