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199321408 = 26111329751
BaseRepresentation
bin10111110000101…
…10011101000000
3111220001120120101
423320112131000
5402011241113
631440052144
74640126656
oct1370263500
9456046511
10199321408
11a256a140
1256904054
13323aa480
141c686dd6
15127732dd
hexbe16740

199321408 has 112 divisors (see below), whose sum is σ = 481340160. Its totient is φ = 80640000.

The previous prime is 199321387. The next prime is 199321417. The reversal of 199321408 is 804123991.

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, 265033 + ... + 265783.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2199321408 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 199321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240670080).

199321408 is an abundant number, since it is smaller than the sum of its proper divisors (282018752).

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

199321408 is a wasteful number, since it uses less digits than its factorization.

199321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 199321408 is about 14118.1233880428. The cubic root of 199321408 is about 584.1413931741.

The spelling of 199321408 in words is "one hundred ninety-nine million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 143 176 208 232 286 319 352 377 416 464 572 638 704 751 754 832 928 1144 1276 1502 1508 1856 2288 2552 3004 3016 4147 4576 5104 6008 6032 8261 8294 9152 9763 10208 12016 12064 16522 16588 19526 20416 21779 24032 24128 33044 33176 39052 43558 48064 66088 66352 78104 87116 107393 132176 132704 156208 174232 214786 239569 264352 265408 283127 312416 348464 429572 479138 528704 566254 624832 696928 859144 958276 1132508 1393856 1718288 1916552 2265016 3114397 3436576 3833104 4530032 6228794 6873152 7666208 9060064 12457588 15332416 18120128 24915176 49830352 99660704 199321408