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21848064 = 21337127
BaseRepresentation
bin101001101011…
…0000000000000
31112002222220120
41103112000000
521043114224
62100140240
7353463660
oct123260000
945088816
1021848064
1111372857
127397680
1346ac664
142c8a1a0
151db8779
hex14d6000

21848064 has 112 divisors (see below), whose sum is σ = 67104768. Its totient is φ = 6193152.

The previous prime is 21848063. The next prime is 21848083. The reversal of 21848064 is 46084812.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21848063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171969 + ... + 172095.

Almost surely, 221848064 is an apocalyptic number.

21848064 is a gapful number since it is divisible by the number (24) 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 21848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33552384).

21848064 is an abundant number, since it is smaller than the sum of its proper divisors (45256704).

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

21848064 is an equidigital number, since it uses as much as digits as its factorization.

21848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 21848064 is about 4674.1912669466. The cubic root of 21848064 is about 279.5573959699.

The spelling of 21848064 in words is "twenty-one million, eight hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 512 672 762 768 889 896 1016 1024 1344 1524 1536 1778 1792 2032 2048 2667 2688 3048 3072 3556 3584 4064 4096 5334 5376 6096 6144 7112 7168 8128 8192 10668 10752 12192 12288 14224 14336 16256 21336 21504 24384 24576 28448 28672 32512 42672 43008 48768 56896 57344 65024 85344 86016 97536 113792 130048 170688 172032 195072 227584 260096 341376 390144 455168 520192 682752 780288 910336 1040384 1365504 1560576 1820672 2731008 3121152 3641344 5462016 7282688 10924032 21848064