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21438648 = 23337111289
BaseRepresentation
bin101000111001…
…0000010111000
31111100012022000
41101302002320
520442014043
62043301000
7350140230
oct121620270
944305260
1021438648
11111131a0
12721a760
1345981ba
142bc0cc0
151d372d3
hex14720b8

21438648 has 128 divisors (see below), whose sum is σ = 74304000. Its totient is φ = 5564160.

The previous prime is 21438647. The next prime is 21438673. The reversal of 21438648 is 84683412.

21438648 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 8 + 648 = 666.

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 not an unprimeable number, because it can be changed into a prime (21438647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15988 + ... + 17276.

It is an arithmetic number, because the mean of its divisors is an integer number (580500).

Almost surely, 221438648 is an apocalyptic number.

21438648 is a gapful number since it is divisible by the number (28) 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 21438648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37152000).

21438648 is an abundant number, since it is smaller than the sum of its proper divisors (52865352).

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

21438648 is a wasteful number, since it uses less digits than its factorization.

21438648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21438648 is about 4630.1887650505. The cubic root of 21438648 is about 277.8001427444.

The spelling of 21438648 in words is "twenty-one million, four hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1289 1386 1512 1848 2079 2376 2578 2772 3867 4158 5156 5544 7734 8316 9023 10312 11601 14179 15468 16632 18046 23202 27069 28358 30936 34803 36092 42537 46404 54138 56716 69606 72184 81207 85074 92808 99253 108276 113432 127611 139212 162414 170148 198506 216552 243621 255222 278424 297759 324828 340296 382833 397012 487242 510444 595518 649656 765666 794024 893277 974484 1020888 1191036 1531332 1786554 1948968 2382072 2679831 3062664 3573108 5359662 7146216 10719324 21438648