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4144096 = 251161193
BaseRepresentation
bin1111110011101111100000
321210112122001
433303233200
52030102341
6224453344
750136625
oct17635740
97715561
104144096
112380580
12147a254
13b21338
1479c34c
1556cd31
hex3f3be0

4144096 has 48 divisors (see below), whose sum is σ = 9093168. Its totient is φ = 1843200.

The previous prime is 4144087. The next prime is 4144099. The reversal of 4144096 is 6904414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21376 + ... + 21568.

It is an arithmetic number, because the mean of its divisors is an integer number (189441).

Almost surely, 24144096 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 4144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546584).

4144096 is an abundant number, since it is smaller than the sum of its proper divisors (4949072).

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

4144096 is a wasteful number, since it uses less digits than its factorization.

4144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4144096 is about 2035.7052831881. The cubic root of 4144096 is about 160.6238146844.

The spelling of 4144096 in words is "four million, one hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 193 244 352 386 488 671 772 976 1342 1544 1952 2123 2684 3088 4246 5368 6176 8492 10736 11773 16984 21472 23546 33968 47092 67936 94184 129503 188368 259006 376736 518012 1036024 2072048 4144096