Search a number
-
+
199675392 = 29373379
BaseRepresentation
bin10111110011011…
…00111000000000
3111220201120010220
423321230320000
5402104103032
631451423040
74643133000
oct1371547000
9456646126
10199675392
11a2791094
1256a54a80
13324a2627
141c73a000
15127e312c
hexbe6ce00

199675392 has 160 divisors (see below), whose sum is σ = 621984000. Its totient is φ = 56899584.

The previous prime is 199675363. The next prime is 199675403. The reversal of 199675392 is 293576991.

It is a happy number.

199675392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1996753923 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 526659 + ... + 527037.

It is an arithmetic number, because the mean of its divisors is an integer number (3887400).

Almost surely, 2199675392 is an apocalyptic number.

199675392 is a gapful number since it is divisible by the number (12) 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 199675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310992000).

199675392 is an abundant number, since it is smaller than the sum of its proper divisors (422308608).

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

199675392 is an frugal number, since it uses more digits than its factorization.

199675392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 391 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The square root of 199675392 is about 14130.6543372910. The cubic root of 199675392 is about 584.4869898021.

The spelling of 199675392 in words is "one hundred ninety-nine million, six hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 379 384 392 448 512 588 672 686 758 768 784 896 1029 1137 1176 1344 1372 1516 1536 1568 1792 2058 2274 2352 2653 2688 2744 3032 3136 3584 4116 4548 4704 5306 5376 5488 6064 6272 7959 8232 9096 9408 10612 10752 10976 12128 12544 15918 16464 18192 18571 18816 21224 21952 24256 25088 31836 32928 36384 37142 37632 42448 43904 48512 55713 63672 65856 72768 74284 75264 84896 87808 97024 111426 127344 129997 131712 145536 148568 169792 175616 194048 222852 254688 259994 263424 291072 297136 339584 389991 445704 509376 519988 526848 582144 594272 679168 779982 891408 1018752 1039976 1188544 1358336 1559964 1782816 2037504 2079952 2377088 3119928 3565632 4075008 4159904 4754176 6239856 7131264 8319808 9508352 12479712 14262528 16639616 24959424 28525056 33279232 49918848 66558464 99837696 199675392