Search a number
-
+
199649862 = 23229973943
BaseRepresentation
bin10111110011001…
…10101001000110
3111220200021010100
423321212221012
5402102243422
631451104530
74642665366
oct1371465106
9456607110
10199649862
11a2773995
1256a42146
1332493b19
141c7309a6
15127da7ac
hexbe66a46

199649862 has 48 divisors (see below), whose sum is σ = 452219040. Its totient is φ = 63576576.

The previous prime is 199649851. The next prime is 199649897. The reversal of 199649862 is 268946991.

199649862 is a `hidden beast` number, since 1 + 9 + 96 + 498 + 62 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199649799 and 199649808.

It is a congruent number.

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, 48663 + ... + 52605.

It is an arithmetic number, because the mean of its divisors is an integer number (9421230).

Almost surely, 2199649862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199649862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226109520).

199649862 is an abundant number, since it is smaller than the sum of its proper divisors (252569178).

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

199649862 is a wasteful number, since it uses less digits than its factorization.

199649862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4074 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 199649862 is about 14129.7509532192. The cubic root of 199649862 is about 584.4620783884.

The spelling of 199649862 in words is "one hundred ninety-nine million, six hundred forty-nine thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 58 87 97 174 194 261 291 522 582 873 1746 2813 3943 5626 7886 8439 11829 16878 23658 25317 35487 50634 70974 114347 228694 343041 382471 686082 764942 1029123 1147413 2058246 2294826 3442239 6884478 11091659 22183318 33274977 66549954 99824931 199649862