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4241664 = 28327263
BaseRepresentation
bin10000001011100100000000
321222111110200
4100023210000
52041213124
6230525200
751024240
oct20134400
97874420
104241664
112437909
121506800
13b5687b
147c5b20
1558bbc9
hex40b900

4241664 has 108 divisors (see below), whose sum is σ = 14030016. Its totient is φ = 1207296.

The previous prime is 4241663. The next prime is 4241689. The reversal of 4241664 is 4661424.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4241663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15997 + ... + 16259.

Almost surely, 24241664 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 4241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015008).

4241664 is an abundant number, since it is smaller than the sum of its proper divisors (9788352).

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

4241664 is a wasteful number, since it uses less digits than its factorization.

4241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4241664 is about 2059.5300434808. The cubic root of 4241664 is about 161.8746172032.

The spelling of 4241664 in words is "four million, two hundred forty-one thousand, six hundred sixty-four".

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 96 112 126 128 144 168 192 224 252 256 263 288 336 384 448 504 526 576 672 768 789 896 1008 1052 1152 1344 1578 1792 1841 2016 2104 2304 2367 2688 3156 3682 4032 4208 4734 5376 5523 6312 7364 8064 8416 9468 11046 12624 14728 16128 16569 16832 18936 22092 25248 29456 33138 33664 37872 44184 50496 58912 66276 67328 75744 88368 100992 117824 132552 151488 176736 201984 235648 265104 302976 353472 471296 530208 605952 706944 1060416 1413888 2120832 4241664