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4081896 = 2332721389
BaseRepresentation
bin1111100100100011101000
321200101022100
433210203220
52021110041
6223253400
746460400
oct17444350
97611270
104081896
112338875
12144a260
13acbc30
14783800
155596b6
hex3e48e8

4081896 has 144 divisors (see below), whose sum is σ = 14004900. Its totient is φ = 1064448.

The previous prime is 4081871. The next prime is 4081897. The reversal of 4081896 is 6981804.

It is a happy number.

4081896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3572100 + 509796 = 1890^2 + 714^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4081896.

It is not an unprimeable number, because it can be changed into a prime (4081897) 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 35 ways as a sum of consecutive naturals, for example, 45820 + ... + 45908.

Almost surely, 24081896 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 4081896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002450).

4081896 is an abundant number, since it is smaller than the sum of its proper divisors (9923004).

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

4081896 is a wasteful number, since it uses less digits than its factorization.

4081896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4081896 is about 2020.3702630954. The cubic root of 4081896 is about 159.8161429763.

It can be divided in two parts, 408 and 1896, that added together give a square (2304 = 482).

The spelling of 4081896 in words is "four million, eighty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 89 91 98 104 117 126 147 156 168 178 182 196 234 252 267 273 294 312 356 364 392 441 468 504 534 546 588 623 637 712 728 801 819 882 936 1068 1092 1157 1176 1246 1274 1602 1638 1764 1869 1911 2136 2184 2314 2492 2548 3204 3276 3471 3528 3738 3822 4361 4628 4984 5096 5607 5733 6408 6552 6942 7476 7644 8099 8722 9256 10413 11214 11466 13083 13884 14952 15288 16198 17444 20826 22428 22932 24297 26166 27768 32396 34888 39249 41652 44856 45864 48594 52332 56693 64792 72891 78498 83304 97188 104664 113386 145782 156996 170079 194376 226772 291564 313992 340158 453544 510237 583128 680316 1020474 1360632 2040948 4081896