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4112124 = 2232347317
BaseRepresentation
bin1111101011111011111100
321201220202220
433223323330
52023041444
6224045340
746644462
oct17537374
97656686
104112124
112359555
121463850
13b0c913
14790832
15563619
hex3ebefc

4112124 has 48 divisors (see below), whose sum is σ = 10257408. Its totient is φ = 1279168.

The previous prime is 4112099. The next prime is 4112137. The reversal of 4112124 is 4212114.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12814 + ... + 13130.

It is an arithmetic number, because the mean of its divisors is an integer number (213696).

Almost surely, 24112124 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 4112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128704).

4112124 is an abundant number, since it is smaller than the sum of its proper divisors (6145284).

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

4112124 is a wasteful number, since it uses less digits than its factorization.

4112124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 4112124 is about 2027.8372715778. The cubic root of 4112124 is about 160.2096730293.

Adding to 4112124 its reverse (4212114), we get a palindrome (8324238).

The spelling of 4112124 in words is "four million, one hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 317 564 634 951 1081 1268 1902 2162 3243 3804 4324 6486 7291 12972 14582 14899 21873 29164 29798 43746 44697 59596 87492 89394 178788 342677 685354 1028031 1370708 2056062 4112124