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4133142 = 23213171039
BaseRepresentation
bin1111110001000100010110
321202222121100
433301010112
52024230032
6224330530
750062656
oct17610426
97688540
104133142
112373322
121473a46
13b19360
14798366
1556997c
hex3f1116

4133142 has 48 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1195776.

The previous prime is 4133131. The next prime is 4133147. The reversal of 4133142 is 2413314.

4133142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133147) 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 23 ways as a sum of consecutive naturals, for example, 3459 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 24133142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

4133142 is an abundant number, since it is smaller than the sum of its proper divisors (6087978).

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

4133142 is a wasteful number, since it uses less digits than its factorization.

4133142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1074 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4133142 is about 2033.0130348820. The cubic root of 4133142 is about 160.4821653109.

Adding to 4133142 its reverse (2413314), we get a palindrome (6546456).

It can be divided in two parts, 413314 and 2, that multiplied together give a palindrome (826628).

The spelling of 4133142 in words is "four million, one hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1039 1326 1989 2078 3117 3978 6234 9351 13507 17663 18702 27014 35326 40521 52989 81042 105978 121563 158967 229619 243126 317934 459238 688857 1377714 2066571 4133142