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199374952 = 23789109367
BaseRepresentation
bin10111110001000…
…11100001101000
3111220011022000111
423320203201220
5402014444302
631441144104
74640442040
oct1370434150
9456138014
10199374952
11a25a6397
125692b034
13323c895a
141c69c720
15127840d7
hexbe23868

199374952 has 64 divisors (see below), whose sum is σ = 437184000. Its totient is φ = 83483136.

The previous prime is 199374949. The next prime is 199374953. The reversal of 199374952 is 259473991.

It is a junction number, because it is equal to n+sod(n) for n = 199374896 and 199374905.

It is not an unprimeable number, because it can be changed into a prime (199374953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 543073 + ... + 543439.

It is an arithmetic number, because the mean of its divisors is an integer number (6831000).

Almost surely, 2199374952 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 199374952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592000).

199374952 is an abundant number, since it is smaller than the sum of its proper divisors (237809048).

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

199374952 is a wasteful number, since it uses less digits than its factorization.

199374952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its digits is 612360, while the sum is 49.

The square root of 199374952 is about 14120.0195467287. The cubic root of 199374952 is about 584.1936947420.

The spelling of 199374952 in words is "one hundred ninety-nine million, three hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 89 109 178 218 356 367 436 623 712 734 763 872 1246 1468 1526 2492 2569 2936 3052 4984 5138 6104 9701 10276 19402 20552 32663 38804 40003 65326 67907 77608 80006 130652 135814 160012 228641 261304 271628 280021 320024 457282 543256 560042 914564 1120084 1829128 2240168 3560267 7120534 14241068 24921869 28482136 49843738 99687476 199374952