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21838848 = 21037109
BaseRepresentation
bin101001101001…
…1110000000000
31112002112021020
41103103300000
521042320343
62100025440
7353425053
oct123236000
945075236
1021838848
1111366939
127392280
1346a83c5
142c86a9a
151db5b83
hex14d3c00

21838848 has 44 divisors (see below), whose sum is σ = 58216680. Its totient is φ = 7278592.

The previous prime is 21838837. The next prime is 21838853. The reversal of 21838848 is 84883812.

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 3 ways as a sum of consecutive naturals, for example, 483 + ... + 6626.

Almost surely, 221838848 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 21838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29108340).

21838848 is an abundant number, since it is smaller than the sum of its proper divisors (36377832).

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

21838848 is an equidigital number, since it uses as much as digits as its factorization.

21838848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7114 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 21838848 is about 4673.2053239720. The cubic root of 21838848 is about 279.5180825963.

The spelling of 21838848 in words is "twenty-one million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 7109 14218 21327 28436 42654 56872 85308 113744 170616 227488 341232 454976 682464 909952 1364928 1819904 2729856 3639808 5459712 7279616 10919424 21838848