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199992352 = 25717291811
BaseRepresentation
bin10111110101110…
…10010000100000
3111221022122221011
423322322100200
5402144223402
631502310304
74645623040
oct1372722040
9457278834
10199992352
11a298823a
1256b88394
1332583991
141c7bd720
1512856ed7
hexbeba420

199992352 has 96 divisors (see below), whose sum is σ = 493153920. Its totient is φ = 77844480.

The previous prime is 199992293. The next prime is 199992389. The reversal of 199992352 is 253299991.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 199992296 and 199992305.

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, 109527 + ... + 111337.

It is an arithmetic number, because the mean of its divisors is an integer number (5137020).

Almost surely, 2199992352 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 199992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246576960).

199992352 is an abundant number, since it is smaller than the sum of its proper divisors (293161568).

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

199992352 is a wasteful number, since it uses less digits than its factorization.

199992352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its digits is 393660, while the sum is 49.

The square root of 199992352 is about 14141.8652235128. The cubic root of 199992352 is about 584.7960932517.

The spelling of 199992352 in words is "one hundred ninety-nine million, nine hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 112 116 119 136 203 224 232 238 272 406 464 476 493 544 812 928 952 986 1624 1811 1904 1972 3248 3451 3622 3808 3944 6496 6902 7244 7888 12677 13804 14488 15776 25354 27608 28976 30787 50708 52519 55216 57952 61574 101416 105038 110432 123148 202832 210076 215509 246296 367633 405664 420152 431018 492592 735266 840304 862036 892823 985184 1470532 1680608 1724072 1785646 2941064 3448144 3571292 5882128 6249761 6896288 7142584 11764256 12499522 14285168 24999044 28570336 49998088 99996176 199992352