Search a number
-
+
199549056 = 2737611217
BaseRepresentation
bin10111110010011…
…10000010000000
3111220111010211210
423321032002000
5402041032211
631445010120
74642065450
oct1371160200
9456433753
10199549056
11a2705183
12569b3940
1332459c85
141c705d60
15127ba9a6
hexbe4e080

199549056 has 128 divisors (see below), whose sum is σ = 616210560. Its totient is φ = 56033280.

The previous prime is 199549037. The next prime is 199549057. The reversal of 199549056 is 650945991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1995490562 = 79639651500982272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 199548996 and 199549014.

It is not an unprimeable number, because it can be changed into a prime (199549057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163360 + ... + 164576.

It is an arithmetic number, because the mean of its divisors is an integer number (4814145).

Almost surely, 2199549056 is an apocalyptic number.

199549056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308105280).

199549056 is an abundant number, since it is smaller than the sum of its proper divisors (416661504).

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

199549056 is a wasteful number, since it uses less digits than its factorization.

199549056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 199549056 is about 14126.1833486614. The cubic root of 199549056 is about 584.3636941429.

The spelling of 199549056 in words is "one hundred ninety-nine million, five hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 336 366 384 427 448 488 672 732 854 896 976 1217 1281 1344 1464 1708 1952 2434 2562 2688 2928 3416 3651 3904 4868 5124 5856 6832 7302 7808 8519 9736 10248 11712 13664 14604 17038 19472 20496 23424 25557 27328 29208 34076 38944 40992 51114 54656 58416 68152 74237 77888 81984 102228 116832 136304 148474 155776 163968 204456 222711 233664 272608 296948 408912 445422 467328 519659 545216 593896 817824 890844 1039318 1090432 1187792 1558977 1635648 1781688 2078636 2375584 3117954 3271296 3563376 4157272 4751168 6235908 7126752 8314544 9502336 12471816 14253504 16629088 24943632 28507008 33258176 49887264 66516352 99774528 199549056