Search a number
-
+
4133196 = 22322937107
BaseRepresentation
bin1111110001000101001100
321202222200100
433301011030
52024230241
6224331100
750063064
oct17610514
97688610
104133196
112373371
121473a90
13b193a2
147983a4
155699b6
hex3f114c

4133196 has 72 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1282176.

The previous prime is 4133189. The next prime is 4133209. The reversal of 4133196 is 6913314.

4133196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38575 + ... + 38681.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 24133196 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 4133196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

4133196 is an abundant number, since it is smaller than the sum of its proper divisors (7070724).

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

4133196 is a wasteful number, since it uses less digits than its factorization.

4133196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4133196 is about 2033.0263156192. The cubic root of 4133196 is about 160.4828642142.

The spelling of 4133196 in words is "four million, one hundred thirty-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 107 111 116 148 174 214 222 261 321 333 348 428 444 522 642 666 963 1044 1073 1284 1332 1926 2146 3103 3219 3852 3959 4292 6206 6438 7918 9309 9657 11877 12412 12876 15836 18618 19314 23754 27927 35631 37236 38628 47508 55854 71262 111708 114811 142524 229622 344433 459244 688866 1033299 1377732 2066598 4133196