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199984848 = 24377183101
BaseRepresentation
bin10111110101110…
…00011011010000
3111221022021122020
423322320123100
5402144003343
631502211440
74645562130
oct1372703320
9457267566
10199984848
11a2982638
1256b83b80
133258043b
141c7baac0
1512854b83
hexbeb86d0

199984848 has 160 divisors (see below), whose sum is σ = 611960832. Its totient is φ = 55104000.

The previous prime is 199984843. The next prime is 199984871. The reversal of 199984848 is 848489991.

It is a junction number, because it is equal to n+sod(n) for n = 199984791 and 199984800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199984843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979998 + ... + 1980098.

Almost surely, 2199984848 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 199984848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305980416).

199984848 is an abundant number, since it is smaller than the sum of its proper divisors (411975984).

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

199984848 is a wasteful number, since it uses less digits than its factorization.

199984848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 60.

The square root of 199984848 is about 14141.5999094869. The cubic root of 199984848 is about 584.7887790307.

The spelling of 199984848 in words is "one hundred ninety-nine million, nine hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 83 84 101 112 142 166 168 202 213 249 284 303 332 336 404 426 497 498 568 581 606 664 707 808 852 994 996 1136 1162 1212 1328 1414 1491 1616 1704 1743 1988 1992 2121 2324 2424 2828 2982 3408 3486 3976 3984 4242 4648 4848 5656 5893 5964 6972 7171 7952 8383 8484 9296 11312 11786 11928 13944 14342 16766 16968 17679 21513 23572 23856 25149 27888 28684 33532 33936 35358 41251 43026 47144 50197 50298 57368 58681 67064 70716 82502 86052 94288 100394 100596 114736 117362 123753 134128 141432 150591 165004 172104 176043 200788 201192 234724 247506 282864 301182 330008 344208 352086 401576 402384 469448 495012 595193 602364 660016 704172 803152 938896 990024 1190386 1204728 1408344 1785579 1980048 2380772 2409456 2816688 3571158 4166351 4761544 7142316 8332702 9523088 12499053 14284632 16665404 24998106 28569264 33330808 49996212 66661616 99992424 199984848