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21264048 = 24321337307
BaseRepresentation
bin101000100011…
…1011010110000
31111000022210100
41101013122300
520420422143
62035432400
7345512211
oct121073260
944008710
1021264048
1111003aa3
127155700
1345368a0
142b77408
151d006d3
hex14476b0

21264048 has 120 divisors (see below), whose sum is σ = 66033968. Its totient is φ = 6345216.

The previous prime is 21264037. The next prime is 21264053. The reversal of 21264048 is 84046212.

21264048 is a `hidden beast` number, since 2 + 12 + 640 + 4 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 69111 + ... + 69417.

Almost surely, 221264048 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 21264048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33016984).

21264048 is an abundant number, since it is smaller than the sum of its proper divisors (44769920).

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

21264048 is a wasteful number, since it uses less digits than its factorization.

21264048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 21264048 is about 4611.2956964393. The cubic root of 21264048 is about 277.0439355646.

The spelling of 21264048 in words is "twenty-one million, two hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 307 312 333 444 468 481 592 614 624 666 888 921 936 962 1228 1332 1443 1776 1842 1872 1924 2456 2664 2763 2886 3684 3848 3991 4329 4912 5328 5526 5772 7368 7696 7982 8658 11052 11359 11544 11973 14736 15964 17316 22104 22718 23088 23946 31928 34077 34632 35919 44208 45436 47892 63856 68154 69264 71838 90872 95784 102231 136308 143676 147667 181744 191568 204462 272616 287352 295334 408924 443001 545232 574704 590668 817848 886002 1181336 1329003 1635696 1772004 2362672 2658006 3544008 5316012 7088016 10632024 21264048