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199832048 = 24135318127
BaseRepresentation
bin10111110100100…
…11000111110000
3111221000112000222
423322103013300
5402124111143
631455032212
74644354503
oct1372230760
9457015028
10199832048
11a2888859
1256b0b668
1332528a20
141c77b13a
1512824768
hexbe931f0

199832048 has 40 divisors (see below), whose sum is σ = 424847808. Its totient is φ = 90484992.

The previous prime is 199832047. The next prime is 199832053. The reversal of 199832048 is 840238991.

It is a happy number.

199832048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199832047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1961 + ... + 20087.

Almost surely, 2199832048 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 199832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212423904).

199832048 is an abundant number, since it is smaller than the sum of its proper divisors (225015760).

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

199832048 is a wasteful number, since it uses less digits than its factorization.

199832048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18201 (or 18195 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 199832048 is about 14136.1963766779. The cubic root of 199832048 is about 584.6398035897.

The spelling of 199832048 in words is "one hundred ninety-nine million, eight hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 11024 18127 36254 72508 145016 235651 290032 471302 942604 960731 1885208 1921462 3770416 3842924 7685848 12489503 15371696 24979006 49958012 99916024 199832048