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199904796 = 2232713139439
BaseRepresentation
bin10111110101001…
…00111000011100
3111221011012211100
423322210320130
5402133423141
631500353100
74645106550
oct1372447034
9457135740
10199904796
11a2928483
1256b45790
1332552b80
141c799860
151283b0b6
hexbea4e1c

199904796 has 144 divisors (see below), whose sum is σ = 627827200. Its totient is φ = 52223616.

The previous prime is 199904791. The next prime is 199904827. The reversal of 199904796 is 697409991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199904791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455145 + ... + 455583.

Almost surely, 2199904796 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 199904796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313913600).

199904796 is an abundant number, since it is smaller than the sum of its proper divisors (427922404).

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

199904796 is a wasteful number, since it uses less digits than its factorization.

199904796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 199904796 is about 14138.7692533686. The cubic root of 199904796 is about 584.7107401867.

The spelling of 199904796 in words is "one hundred ninety-nine million, nine hundred four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 139 156 182 234 252 273 278 364 417 439 468 546 556 819 834 878 973 1092 1251 1317 1638 1668 1756 1807 1946 2502 2634 2919 3073 3276 3614 3892 3951 5004 5268 5421 5707 5838 6146 7228 7902 8757 9219 10842 11414 11676 12292 12649 15804 16263 17121 17514 18438 21684 22828 25298 27657 32526 34242 35028 36876 37947 39949 50596 51363 55314 61021 65052 68484 75894 79898 102726 110628 113841 119847 122042 151788 159796 183063 205452 227682 239694 244084 359541 366126 427147 455364 479388 549189 719082 732252 793273 854294 1098378 1281441 1438164 1586546 1708588 2196756 2379819 2562882 3173092 3844323 4759638 5125764 5552911 7139457 7688646 9519276 11105822 14278914 15377292 16658733 22211644 28557828 33317466 49976199 66634932 99952398 199904796