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4168112 = 241329691
BaseRepresentation
bin1111111001100110110000
321211202120112
433321212300
52031334422
6225200452
750266634
oct17714660
97752515
104168112
112397623
121490128
13b2c250
147a6dc4
15574ee2
hex3f99b0

4168112 has 40 divisors (see below), whose sum is σ = 9009840. Its totient is φ = 1854720.

The previous prime is 4168097. The next prime is 4168117. The reversal of 4168112 is 2118614.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4168117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5687 + ... + 6377.

It is an arithmetic number, because the mean of its divisors is an integer number (225246).

Almost surely, 24168112 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 4168112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504920).

4168112 is an abundant number, since it is smaller than the sum of its proper divisors (4841728).

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

4168112 is a wasteful number, since it uses less digits than its factorization.

4168112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 4168112 is about 2041.5954545404. The cubic root of 4168112 is about 160.9335013365.

The spelling of 4168112 in words is "four million, one hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 691 754 1382 1508 2764 3016 5528 6032 8983 11056 17966 20039 35932 40078 71864 80156 143728 160312 260507 320624 521014 1042028 2084056 4168112