Search a number
-
+
4081836 = 22311172107
BaseRepresentation
bin1111100100100010101100
321200101020010
433210202230
52021104321
6223253220
746460253
oct17444254
97611203
104081836
112338820
12144a210
13acbbb5
1478379a
15559676
hex3e48ac

4081836 has 72 divisors (see below), whose sum is σ = 11140416. Its totient is φ = 1153280.

The previous prime is 4081813. The next prime is 4081849. The reversal of 4081836 is 6381804.

It is a happy number.

4081836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40818362 = 33322770261792, which contains 22 as substring.

4081836 is a modest number, since divided by 1836 gives 408 as remainder.

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, 38095 + ... + 38201.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

Almost surely, 24081836 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 4081836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570208).

4081836 is an abundant number, since it is smaller than the sum of its proper divisors (7058580).

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

4081836 is a wasteful number, since it uses less digits than its factorization.

4081836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4081836 is about 2020.3554142774. The cubic root of 4081836 is about 159.8153599239.

Subtracting 4081836 from its reverse (6381804), we obtain a cube (2299968 = 1323).

The spelling of 4081836 in words is "four million, eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 107 132 187 204 214 289 321 374 428 561 578 642 748 867 1122 1156 1177 1284 1734 1819 2244 2354 3179 3468 3531 3638 4708 5457 6358 7062 7276 9537 10914 12716 14124 19074 20009 21828 30923 38148 40018 60027 61846 80036 92769 120054 123692 185538 240108 340153 371076 680306 1020459 1360612 2040918 4081836