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4112892 = 2232719859
BaseRepresentation
bin1111101100000111111100
321201221211100
433230013330
52023103032
6224053100
746646640
oct17540774
97657740
104112892
11235a093
121464190
13b10084
14790c20
1556397c
hex3ec1fc

4112892 has 72 divisors (see below), whose sum is σ = 12521600. Its totient is φ = 1111968.

The previous prime is 4112891. The next prime is 4112903. The reversal of 4112892 is 2982114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 5217.

Almost surely, 24112892 is an apocalyptic number.

4112892 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260800).

4112892 is an abundant number, since it is smaller than the sum of its proper divisors (8408708).

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

4112892 is a wasteful number, since it uses less digits than its factorization.

4112892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 890 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4112892 is about 2028.0266270441. The cubic root of 4112892 is about 160.2196462507.

It can be divided in two parts, 4 and 112892, that added together give a square (112896 = 3362).

The spelling of 4112892 in words is "four million, one hundred twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 859 1197 1596 1718 2394 2577 3436 4788 5154 6013 7731 10308 12026 15462 16321 18039 24052 30924 32642 36078 48963 54117 65284 72156 97926 108234 114247 146889 195852 216468 228494 293778 342741 456988 587556 685482 1028223 1370964 2056446 4112892