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21328848 = 2432732029
BaseRepresentation
bin101000101011…
…1001111010000
31111010121200100
41101113033100
520430010343
62041052400
7346202142
oct121271720
944117610
1021328848
1111048752
127187100
13455a228
142b92c92
151d149d3
hex14573d0

21328848 has 60 divisors (see below), whose sum is σ = 60538660. Its totient is φ = 7008768.

The previous prime is 21328823. The next prime is 21328873. The reversal of 21328848 is 84882312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21328823) and next prime (21328873).

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 3283344 = 4248^2 + 1812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9498 + ... + 11526.

Almost surely, 221328848 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 21328848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30269330).

21328848 is an abundant number, since it is smaller than the sum of its proper divisors (39209812).

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

21328848 is a wasteful number, since it uses less digits than its factorization.

21328848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2107 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 21328848 is about 4618.3165764161. The cubic root of 21328848 is about 277.3250711501.

The spelling of 21328848 in words is "twenty-one million, three hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2029 2628 3504 4058 5256 6087 8116 10512 12174 16232 18261 24348 32464 36522 48696 73044 97392 146088 148117 292176 296234 444351 592468 888702 1184936 1333053 1777404 2369872 2666106 3554808 5332212 7109616 10664424 21328848