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4043424 = 253711547
BaseRepresentation
bin1111011011001010100000
321121102112110
433123022200
52013342144
6222355320
746240260
oct17331240
97542473
104043424
112311980
12142bb40
13ab7578
147737a0
1554d0b9
hex3db2a0

4043424 has 96 divisors (see below), whose sum is σ = 13257216. Its totient is φ = 1048320.

The previous prime is 4043411. The next prime is 4043437. The reversal of 4043424 is 4243404.

4043424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4043411) and next prime (4043437).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4043424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7119 + ... + 7665.

It is an arithmetic number, because the mean of its divisors is an integer number (138096).

Almost surely, 24043424 is an apocalyptic number.

4043424 is a gapful number since it is divisible by the number (44) 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 4043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628608).

4043424 is an abundant number, since it is smaller than the sum of its proper divisors (9213792).

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

4043424 is a wasteful number, since it uses less digits than its factorization.

4043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4043424 is about 2010.8266956652. The cubic root of 4043424 is about 159.3124665090.

Adding to 4043424 its reverse (4243404), we get a palindrome (8286828).

It can be divided in two parts, 404 and 3424, that added together give a triangular number (3828 = T87).

The spelling of 4043424 in words is "four million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 547 616 672 924 1056 1094 1232 1641 1848 2188 2464 3282 3696 3829 4376 6017 6564 7392 7658 8752 11487 12034 13128 15316 17504 18051 22974 24068 26256 30632 36102 42119 45948 48136 52512 61264 72204 84238 91896 96272 122528 126357 144408 168476 183792 192544 252714 288816 336952 367584 505428 577632 673904 1010856 1347808 2021712 4043424