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21241472 = 277151157
BaseRepresentation
bin101000100000…
…1111010000000
31110222011211012
41101001322000
520414211342
62035140052
7345356330
oct121017200
943864735
1021241472
1110a9903a
127144628
134529525
142b6d0c0
151ce8b82
hex1441e80

21241472 has 64 divisors (see below), whose sum is σ = 48992640. Its totient is φ = 8985600.

The previous prime is 21241471. The next prime is 21241477. The reversal of 21241472 is 27414212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (21241471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135218 + ... + 135374.

It is an arithmetic number, because the mean of its divisors is an integer number (765510).

Almost surely, 221241472 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 21241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24496320).

21241472 is an abundant number, since it is smaller than the sum of its proper divisors (27751168).

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

21241472 is a wasteful number, since it uses less digits than its factorization.

21241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 21241472 is about 4608.8471443518. The cubic root of 21241472 is about 276.9458551697.

Adding to 21241472 its reverse (27414212), we get a palindrome (48655684).

The spelling of 21241472 in words is "twenty-one million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 157 224 302 314 448 604 628 896 1057 1099 1208 1256 2114 2198 2416 2512 4228 4396 4832 5024 8456 8792 9664 10048 16912 17584 19328 20096 23707 33824 35168 47414 67648 70336 94828 135296 140672 165949 189656 331898 379312 663796 758624 1327592 1517248 2655184 3034496 5310368 10620736 21241472