Search a number
-
+
21934752 = 253724663
BaseRepresentation
bin101001110101…
…1001010100000
31112021101211020
41103223022200
521103403002
62102045440
7354304500
oct123531240
945241736
1021934752
11114219a4
127419880
13470cc58
142cada00
151dd42bc
hex14eb2a0

21934752 has 72 divisors (see below), whose sum is σ = 66993696. Its totient is φ = 6265728.

The previous prime is 21934751. The next prime is 21934753. The reversal of 21934752 is 25743912.

It is an interprime number because it is at equal distance from previous prime (21934751) and next prime (21934753).

It is a super-2 number, since 2×219347522 = 962266690603008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21934751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2373 + ... + 7035.

It is an arithmetic number, because the mean of its divisors is an integer number (930468).

Almost surely, 221934752 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 21934752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33496848).

21934752 is an abundant number, since it is smaller than the sum of its proper divisors (45058944).

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

21934752 is a wasteful number, since it uses less digits than its factorization.

21934752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4675 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 21934752 is about 4683.4551348337. The cubic root of 21934752 is about 279.9266474519.

The spelling of 21934752 in words is "twenty-one million, nine hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4663 4704 9326 13989 18652 27978 32641 37304 55956 65282 74608 97923 111912 130564 149216 195846 223824 228487 261128 391692 447648 456974 522256 685461 783384 913948 1044512 1370922 1566768 1827896 2741844 3133536 3655792 5483688 7311584 10967376 21934752