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4404224 = 210111723
BaseRepresentation
bin10000110011010000000000
322021202110102
4100303100000
52111413344
6234221532
752302206
oct20632000
98252412
104404224
112538a60
1215848a8
13bb2866
14829076
155bee4e
hex433400

4404224 has 88 divisors (see below), whose sum is σ = 10611648. Its totient is φ = 1802240.

The previous prime is 4404193. The next prime is 4404251. The reversal of 4404224 is 4224044.

It is a tau number, because it is divible by the number of its divisors (88).

It is a d-powerful number, because it can be written as 45 + 46 + 0 + 48 + 213 + 217 + 411 .

It is a junction number, because it is equal to n+sod(n) for n = 4404196 and 4404205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191477 + ... + 191499.

Almost surely, 24404224 is an apocalyptic number.

4404224 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 4404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305824).

4404224 is an abundant number, since it is smaller than the sum of its proper divisors (6207424).

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

4404224 is a wasteful number, since it uses less digits than its factorization.

4404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4404224 is about 2098.6243113049. The cubic root of 4404224 is about 163.9166739107.

Adding to 4404224 its reverse (4224044), we get a palindrome (8628268).

It can be divided in two parts, 440 and 4224, that added together give a palindrome (4664).

The spelling of 4404224 in words is "four million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 128 136 176 184 187 253 256 272 352 368 374 391 506 512 544 704 736 748 782 1012 1024 1088 1408 1472 1496 1564 2024 2176 2816 2944 2992 3128 4048 4301 4352 5632 5888 5984 6256 8096 8602 8704 11264 11776 11968 12512 16192 17204 17408 23552 23936 25024 32384 34408 47872 50048 64768 68816 95744 100096 129536 137632 191488 200192 259072 275264 400384 550528 1101056 2202112 4404224