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21445728 = 2531271759
BaseRepresentation
bin101000111001…
…1110001100000
31111100120000020
41101303301200
520442230403
62043353440
7350166663
oct121636140
944316006
1021445728
1111118547
127222880
13459b4a5
142bc36da
151d39453
hex1473c60

21445728 has 48 divisors (see below), whose sum is σ = 56770560. Its totient is φ = 7088256.

The previous prime is 21445727. The next prime is 21445751. The reversal of 21445728 is 82754412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21445727) by changing a digit.

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, 11313 + ... + 13071.

It is an arithmetic number, because the mean of its divisors is an integer number (1182720).

Almost surely, 221445728 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 21445728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28385280).

21445728 is an abundant number, since it is smaller than the sum of its proper divisors (35324832).

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

21445728 is a wasteful number, since it uses less digits than its factorization.

21445728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 21445728 is about 4630.9532496021. The cubic root of 21445728 is about 277.8307200542.

The spelling of 21445728 in words is "twenty-one million, four hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 1759 2032 3048 3518 4064 5277 6096 7036 10554 12192 14072 21108 28144 42216 56288 84432 168864 223393 446786 670179 893572 1340358 1787144 2680716 3574288 5361432 7148576 10722864 21445728