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199642044 = 223719671867
BaseRepresentation
bin10111110011001…
…00101110111100
3111220122212101210
423321210232330
5402102021134
631451004420
74642633530
oct1371445674
9456585353
10199642044
11a2769028
1256a39710
13324903b4
141c72bbc0
15127d82e9
hexbe64bbc

199642044 has 96 divisors (see below), whose sum is σ = 569067520. Its totient is φ = 53203392.

The previous prime is 199642039. The next prime is 199642049. The reversal of 199642044 is 440246991.

It is an interprime number because it is at equal distance from previous prime (199642039) and next prime (199642049).

It is a junction number, because it is equal to n+sod(n) for n = 199641993 and 199642011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199642049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105999 + ... + 107865.

Almost surely, 2199642044 is an apocalyptic number.

199642044 is a gapful number since it is divisible by the number (14) 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 199642044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284533760).

199642044 is an abundant number, since it is smaller than the sum of its proper divisors (369425476).

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

199642044 is a wasteful number, since it uses less digits than its factorization.

199642044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 199642044 is about 14129.4743001996. The cubic root of 199642044 is about 584.4544493921.

The spelling of 199642044 in words is "one hundred ninety-nine million, six hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 201 228 266 268 399 402 469 532 798 804 938 1273 1407 1596 1867 1876 2546 2814 3734 3819 5092 5601 5628 7468 7638 8911 11202 13069 15276 17822 22404 26138 26733 35473 35644 39207 52276 53466 70946 78414 106419 106932 125089 141892 156828 212838 248311 250178 375267 425676 496622 500356 744933 750534 875623 993244 1489866 1501068 1751246 2376691 2626869 2979732 3502492 4753382 5253738 7130073 9506764 10507476 14260146 16636837 28520292 33273674 49910511 66547348 99821022 199642044