Search a number
-
+
21788256 = 253732423
BaseRepresentation
bin101001100011…
…1011001100000
31111222221212110
41103013121200
521034211011
62054555320
7353124420
oct123073140
944887773
1021788256
1111331926
127368b40
13468b379
142c72480
151da5ba6
hex14c7660

21788256 has 48 divisors (see below), whose sum is σ = 65366784. Its totient is φ = 6225024.

The previous prime is 21788233. The next prime is 21788293. The reversal of 21788256 is 65288712.

It is a tau number, because it is divible by the number of its divisors (48).

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, 15540 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (1361808).

Almost surely, 221788256 is an apocalyptic number.

It is an amenable number.

21788256 is an abundant number, since it is smaller than the sum of its proper divisors (43578528).

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

21788256 is a wasteful number, since it uses less digits than its factorization.

21788256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32443 (or 32435 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 21788256 is about 4667.7891983250. The cubic root of 21788256 is about 279.3020713105.

The spelling of 21788256 in words is "twenty-one million, seven hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 32423 64846 97269 129692 194538 226961 259384 389076 453922 518768 680883 778152 907844 1037536 1361766 1556304 1815688 2723532 3112608 3631376 5447064 7262752 10894128 21788256