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199000962 = 236413329
BaseRepresentation
bin10111101110010…
…00001110000010
3111212110022000000
423313020032002
5401421012322
631425140430
74634323506
oct1367101602
9455408000
10199000962
11a2370406
125678a716
13322c7664
141c602306
151270d3ac
hexbdc8382

199000962 has 56 divisors (see below), whose sum is σ = 458600940. Its totient is φ = 64696320.

The previous prime is 199000957. The next prime is 199000981. The reversal of 199000962 is 269000991.

It can be written as a sum of positive squares in 2 ways, for example, as 177182721 + 21818241 = 13311^2 + 4671^2 .

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 58114 + ... + 61442.

Almost surely, 2199000962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199000962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229300470).

199000962 is an abundant number, since it is smaller than the sum of its proper divisors (259599978).

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

199000962 is an equidigital number, since it uses as much as digits as its factorization.

199000962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 199000962 is about 14106.7700768106. The cubic root of 199000962 is about 583.8281868534.

The spelling of 199000962 in words is "one hundred ninety-nine million, nine hundred sixty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2214 3321 3329 6642 6658 9963 9987 19926 19974 29889 29961 59778 59922 89883 136489 179766 269649 272978 409467 539298 808947 818934 1228401 1617894 2426841 2456802 3685203 4853682 7370406 11055609 22111218 33166827 66333654 99500481 199000962