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21456828 = 22324383167
BaseRepresentation
bin101000111011…
…0011110111100
31111101010020100
41101312132330
520443104303
62043521100
7350244231
oct121663674
944333210
1021456828
1111125918
127229190
1345a3563
142bc7788
151d3c8a3
hex14767bc

21456828 has 72 divisors (see below), whose sum is σ = 56504448. Its totient is φ = 6860448.

The previous prime is 21456797. The next prime is 21456829. The reversal of 21456828 is 82865412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 21456792 and 21456801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21456829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128401 + ... + 128567.

It is an arithmetic number, because the mean of its divisors is an integer number (784784).

Almost surely, 221456828 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 21456828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252224).

21456828 is an abundant number, since it is smaller than the sum of its proper divisors (35047620).

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

21456828 is a wasteful number, since it uses less digits than its factorization.

21456828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 21456828 is about 4632.1515519249. The cubic root of 21456828 is about 277.8786455133.

The spelling of 21456828 in words is "twenty-one million, four hundred fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 83 86 129 166 167 172 249 258 332 334 387 498 501 516 668 747 774 996 1002 1494 1503 1548 2004 2988 3006 3569 6012 7138 7181 10707 13861 14276 14362 21414 21543 27722 28724 32121 41583 42828 43086 55444 64242 64629 83166 86172 124749 128484 129258 166332 249498 258516 498996 596023 1192046 1788069 2384092 3576138 5364207 7152276 10728414 21456828