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4032196 = 2271743197
BaseRepresentation
bin1111011000011011000100
321120212010121
433120123010
52013012241
6222231324
746162450
oct17303304
97525117
104032196
1123044a3
121425544
13ab241c
1476d660
15549ad1
hex3d86c4

4032196 has 48 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 1580544.

The previous prime is 4032191. The next prime is 4032211. The reversal of 4032196 is 6912304.

4032196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4032196.

It is not an unprimeable number, because it can be changed into a prime (4032191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20370 + ... + 20566.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 24032196 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 4032196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848).

4032196 is an abundant number, since it is smaller than the sum of its proper divisors (4749500).

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

4032196 is a wasteful number, since it uses less digits than its factorization.

4032196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 4032196 is about 2008.0328682569. The cubic root of 4032196 is about 159.1648672926.

It can be divided in two parts, 403219 and 6, that added together give a square (403225 = 6352).

The spelling of 4032196 in words is "four million, thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 197 238 301 394 476 602 731 788 1204 1379 1462 2758 2924 3349 5117 5516 6698 8471 10234 13396 16942 20468 23443 33884 46886 59297 93772 118594 144007 237188 288014 576028 1008049 2016098 4032196