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21042048 = 273371481
BaseRepresentation
bin101000001000…
…1001110000000
31110121001021010
41100101032000
520341321143
62031000520
7343566036
oct120211600
943531233
1021042048
1110972225
127069140
134489821
142b1a556
151ca9a33
hex1411380

21042048 has 64 divisors (see below), whose sum is σ = 57442320. Its totient is φ = 6819840.

The previous prime is 21042017. The next prime is 21042053. The reversal of 21042048 is 84024012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 13468 + ... + 14948.

Almost surely, 221042048 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 21042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721160).

21042048 is an abundant number, since it is smaller than the sum of its proper divisors (36400272).

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

21042048 is a wasteful number, since it uses less digits than its factorization.

21042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21042048 is about 4587.1612136484. The cubic root of 21042048 is about 276.0764333575.

The spelling of 21042048 in words is "twenty-one million, forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1481 1776 2368 2962 3552 4443 4736 5924 7104 8886 11848 14208 17772 23696 35544 47392 54797 71088 94784 109594 142176 164391 189568 219188 284352 328782 438376 568704 657564 876752 1315128 1753504 2630256 3507008 5260512 7014016 10521024 21042048