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199391808 = 26371113487
BaseRepresentation
bin10111110001001…
…11101001000000
3111220012011010210
423320213221000
5402021014213
631441354120
74640542140
oct1370475100
9456164123
10199391808
11a2608020
1256938940
1332403525
141c6a4920
15127890c3
hexbe27a40

199391808 has 112 divisors (see below), whose sum is σ = 657782784. Its totient is φ = 51786240.

The previous prime is 199391789. The next prime is 199391851. The reversal of 199391808 is 808193991.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8041 + ... + 21527.

Almost surely, 2199391808 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 199391808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328891392).

199391808 is an abundant number, since it is smaller than the sum of its proper divisors (458390976).

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

199391808 is a wasteful number, since it uses less digits than its factorization.

199391808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13520 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The square root of 199391808 is about 14120.6164171399. The cubic root of 199391808 is about 584.2101576784.

The spelling of 199391808 in words is "one hundred ninety-nine million, three hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 13487 14784 26974 40461 53948 80922 94409 107896 148357 161844 188818 215792 283227 296714 323688 377636 431584 445071 566454 593428 647376 755272 863168 890142 1038499 1132908 1186856 1294752 1510544 1780284 2076998 2265816 2373712 2589504 3021088 3115497 3560568 4153996 4531632 4747424 6042176 6230994 7121136 8307992 9063264 9494848 12461988 14242272 16615984 18126528 24923976 28484544 33231968 49847952 66463936 99695904 199391808