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4224024 = 2332717229
BaseRepresentation
bin10000000111010000011000
321221121021100
4100013100120
52040132044
6230311400
750621640
oct20072030
97847240
104224024
112425632
1214b8560
13b4b82c
147bd520
15586869
hex407418

4224024 has 144 divisors (see below), whose sum is σ = 14367600. Its totient is φ = 1096704.

The previous prime is 4223993. The next prime is 4224037. The reversal of 4224024 is 4204224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4223988 and 4224006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145642 + ... + 145670.

It is an arithmetic number, because the mean of its divisors is an integer number (99775).

Almost surely, 24224024 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 4224024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183800).

4224024 is an abundant number, since it is smaller than the sum of its proper divisors (10143576).

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

4224024 is a wasteful number, since it uses less digits than its factorization.

4224024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4224024 is about 2055.2430513202. The cubic root of 4224024 is about 161.6499069789.

Adding to 4224024 its reverse (4204224), we get a palindrome (8428248).

The spelling of 4224024 in words is "four million, two hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 29 34 36 42 51 56 58 63 68 72 84 87 102 116 119 126 136 153 168 174 203 204 232 238 252 261 289 306 348 357 406 408 476 493 504 522 578 609 612 696 714 812 867 952 986 1044 1071 1156 1218 1224 1428 1479 1624 1734 1827 1972 2023 2088 2142 2312 2436 2601 2856 2958 3451 3468 3654 3944 4046 4284 4437 4872 5202 5916 6069 6902 6936 7308 8092 8381 8568 8874 10353 10404 11832 12138 13804 14616 16184 16762 17748 18207 20706 20808 24276 25143 27608 31059 33524 35496 36414 41412 48552 50286 58667 62118 67048 72828 75429 82824 100572 117334 124236 145656 150858 176001 201144 234668 248472 301716 352002 469336 528003 603432 704004 1056006 1408008 2112012 4224024