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199507842 = 232232232161
BaseRepresentation
bin10111110010000…
…11111110000010
3111220102001022100
423321003332002
5402033222332
631444051230
74641534342
oct1371037602
9456361270
10199507842
11a2687216
1256993b16
13324442a1
141c6d4d22
15127ad67c
hexbe43f82

199507842 has 48 divisors (see below), whose sum is σ = 453293568. Its totient is φ = 63296640.

The previous prime is 199507769. The next prime is 199507859. The reversal of 199507842 is 248705991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91242 + ... + 93402.

It is an arithmetic number, because the mean of its divisors is an integer number (9443616).

Almost surely, 2199507842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199507842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226646784).

199507842 is an abundant number, since it is smaller than the sum of its proper divisors (253785726).

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

199507842 is a wasteful number, since it uses less digits than its factorization.

199507842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 199507842 is about 14124.7244928883. The cubic root of 199507842 is about 584.3234607219.

The spelling of 199507842 in words is "one hundred ninety-nine million, five hundred seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 223 414 446 669 1338 2007 2161 4014 4322 5129 6483 10258 12966 15387 19449 30774 38898 46161 49703 92322 99406 149109 298218 447327 481903 894654 963806 1445709 2891418 4337127 8674254 11083769 22167538 33251307 66502614 99753921 199507842