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21338848 = 252379367
BaseRepresentation
bin101000101100…
…1101011100000
31111011010101201
41101121223200
520430320343
62041210544
7346243246
oct121315340
944133351
1021338848
1111055213
127190a54
13456194b
142b96796
151d1794d
hex1459ae0

21338848 has 48 divisors (see below), whose sum is σ = 44513280. Its totient is φ = 10048896.

The previous prime is 21338833. The next prime is 21338851. The reversal of 21338848 is 84883312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57961 + ... + 58327.

It is an arithmetic number, because the mean of its divisors is an integer number (927360).

Almost surely, 221338848 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 21338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256640).

21338848 is an abundant number, since it is smaller than the sum of its proper divisors (23174432).

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

21338848 is a wasteful number, since it uses less digits than its factorization.

21338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 21338848 is about 4619.3990951205. The cubic root of 21338848 is about 277.3684055333.

The spelling of 21338848 in words is "twenty-one million, three hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 79 92 158 184 316 367 368 632 734 736 1264 1468 1817 2528 2936 3634 5872 7268 8441 11744 14536 16882 28993 29072 33764 57986 58144 67528 115972 135056 231944 270112 463888 666839 927776 1333678 2667356 5334712 10669424 21338848