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4229568 = 263271049
BaseRepresentation
bin10000001000100111000000
321221212212200
4100020213000
52040321233
6230353200
750644050
oct20104700
97855780
104229568
112429812
1214bb800
13b51205
147c1560
15588313
hex4089c0

4229568 has 84 divisors (see below), whose sum is σ = 13868400. Its totient is φ = 1207296.

The previous prime is 4229543. The next prime is 4229573. The reversal of 4229568 is 8659224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×42295683 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 47 + 213 + 222 + 94 + 52 + 6 + 84 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3508 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (165100).

Almost surely, 24229568 is an apocalyptic number.

4229568 is a gapful number since it is divisible by the number (48) 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 4229568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934200).

4229568 is an abundant number, since it is smaller than the sum of its proper divisors (9638832).

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

4229568 is a wasteful number, since it uses less digits than its factorization.

4229568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4229568 is about 2056.5913546449. The cubic root of 4229568 is about 161.7205974934.

The spelling of 4229568 in words is "four million, two hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1049 1344 2016 2098 3147 4032 4196 6294 7343 8392 9441 12588 14686 16784 18882 22029 25176 29372 33568 37764 44058 50352 58744 66087 67136 75528 88116 100704 117488 132174 151056 176232 201408 234976 264348 302112 352464 469952 528696 604224 704928 1057392 1409856 2114784 4229568