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21048832 = 2972839
BaseRepresentation
bin101000001001…
…0111000000000
31110121101120101
41100102320000
520342030312
62031052144
7343624600
oct120227000
943541511
1021048832
1110977332
127071054
13448c93c
142b1cc00
151caba57
hex1412e00

21048832 has 60 divisors (see below), whose sum is σ = 48981240. Its totient is φ = 9010176.

The previous prime is 21048829. The next prime is 21048857. The reversal of 21048832 is 23884012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21048832.

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 5 ways as a sum of consecutive naturals, for example, 24669 + ... + 25507.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 221048832 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 21048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490620).

21048832 is an abundant number, since it is smaller than the sum of its proper divisors (27932408).

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

21048832 is an frugal number, since it uses more digits than its factorization.

21048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 21048832 is about 4587.9006092111. The cubic root of 21048832 is about 276.1060993749.

The spelling of 21048832 in words is "twenty-one million, forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 839 896 1568 1678 1792 3136 3356 3584 5873 6272 6712 11746 12544 13424 23492 25088 26848 41111 46984 53696 82222 93968 107392 164444 187936 214784 328888 375872 429568 657776 751744 1315552 1503488 2631104 3006976 5262208 10524416 21048832