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492690688 = 287331181
BaseRepresentation
bin11101010111011…
…101110100000000
31021100002021120021
4131113131310000
52002112100223
6120520023224
715131542000
oct3527356400
91240067507
10492690688
11233124896
12119001b14
137b0c6169
1449612000
152d3c265d
hex1d5ddd00

492690688 has 144 divisors (see below), whose sum is σ = 1190425600. Its totient is φ = 203212800.

The previous prime is 492690677. The next prime is 492690713. The reversal of 492690688 is 886096294.

It is a super-2 number, since 2×4926906882 = 485488228083826688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721958 + ... + 2722138.

Almost surely, 2492690688 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 492690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595212800).

492690688 is an abundant number, since it is smaller than the sum of its proper divisors (697734912).

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

492690688 is an equidigital number, since it uses as much as digits as its factorization.

492690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 492690688 is about 22196.6368623717. The cubic root of 492690688 is about 789.8139218849.

The spelling of 492690688 in words is "four hundred ninety-two million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 181 196 217 224 248 256 343 362 392 434 448 496 686 724 784 868 896 992 1267 1372 1448 1519 1568 1736 1792 1984 2534 2744 2896 3038 3136 3472 3968 5068 5488 5611 5792 6076 6272 6944 7936 8869 10136 10633 10976 11222 11584 12152 12544 13888 17738 20272 21266 21952 22444 23168 24304 27776 35476 39277 40544 42532 43904 44888 46336 48608 55552 62083 70952 78554 81088 85064 87808 89776 97216 124166 141904 157108 162176 170128 179552 194432 248332 274939 283808 314216 324352 340256 359104 388864 496664 549878 567616 628432 680512 718208 993328 1099756 1135232 1256864 1361024 1436416 1924573 1986656 2199512 2270464 2513728 2722048 3849146 3973312 4399024 5027456 7698292 7946624 8798048 10054912 15396584 15893248 17596096 30793168 35192192 61586336 70384384 123172672 246345344 492690688