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21482928 = 24332232
BaseRepresentation
bin101000111110…
…0110110110000
31111102110001000
41101330312300
520444423203
62044242000
7350413305
oct121746660
944373030
1021482928
1111143495
127240300
1345b23bc
142bd30ac
151d454a3
hex147cdb0

21482928 has 60 divisors (see below), whose sum is σ = 61941720. Its totient is φ = 7128864.

The previous prime is 21482927. The next prime is 21482941. The reversal of 21482928 is 82928412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21482892 and 21482901.

It is not an unprimeable number, because it can be changed into a prime (21482927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96225 + ... + 96447.

It is an arithmetic number, because the mean of its divisors is an integer number (1032362).

Almost surely, 221482928 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 21482928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30970860).

21482928 is an abundant number, since it is smaller than the sum of its proper divisors (40458792).

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

21482928 is an equidigital number, since it uses as much as digits as its factorization.

21482928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 228 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 21482928 is about 4634.9679610543. The cubic root of 21482928 is about 277.9912700190.

The spelling of 21482928 in words is "twenty-one million, four hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1784 2007 2676 3568 4014 5352 6021 8028 10704 12042 16056 24084 32112 48168 49729 96336 99458 149187 198916 298374 397832 447561 596748 795664 895122 1193496 1342683 1790244 2386992 2685366 3580488 5370732 7160976 10741464 21482928