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199648448 = 2637591429
BaseRepresentation
bin10111110011001…
…10010011000000
3111220200012011222
423321212103000
5402102222243
631451054212
74642661306
oct1371462300
9456605158
10199648448
11a277291a
1256a41368
133249329c
141c730276
15127da168
hexbe664c0

199648448 has 56 divisors (see below), whose sum is σ = 414070800. Its totient is φ = 95413248.

The previous prime is 199648429. The next prime is 199648453. The reversal of 199648448 is 844846991.

It is a self number, because there is not a number n which added to its sum of digits gives 199648448.

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 7 ways as a sum of consecutive naturals, for example, 138998 + ... + 140426.

Almost surely, 2199648448 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 199648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207035400).

199648448 is an abundant number, since it is smaller than the sum of its proper divisors (214422352).

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

199648448 is a wasteful number, since it uses less digits than its factorization.

199648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The square root of 199648448 is about 14129.7009168630. The cubic root of 199648448 is about 584.4606985873.

The spelling of 199648448 in words is "one hundred ninety-nine million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 59 64 74 118 148 236 296 472 592 944 1184 1429 1888 2183 2368 2858 3776 4366 5716 8732 11432 17464 22864 34928 45728 52873 69856 84311 91456 105746 139712 168622 211492 337244 422984 674488 845968 1348976 1691936 2697952 3119507 3383872 5395904 6239014 12478028 24956056 49912112 99824224 199648448