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18027776 = 28135417
BaseRepresentation
bin100010011000…
…1010100000000
31020220220110102
41010301110000
514103342101
61442221532
7306143054
oct104612400
936826412
1018027776
11a1a3598
1260548a8
133972830
142573c64
1518b186b
hex1131500

18027776 has 36 divisors (see below), whose sum is σ = 38760372. Its totient is φ = 8318976.

The previous prime is 18027767. The next prime is 18027829. The reversal of 18027776 is 67772081.

It can be written as a sum of positive squares in 2 ways, for example, as 2027776 + 16000000 = 1424^2 + 4000^2 .

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 3 ways as a sum of consecutive naturals, for example, 620 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (1076677).

Almost surely, 218027776 is an apocalyptic number.

18027776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380186).

18027776 is an abundant number, since it is smaller than the sum of its proper divisors (20732596).

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

18027776 is an equidigital number, since it uses as much as digits as its factorization.

18027776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 18027776 is about 4245.9128582673. The cubic root of 18027776 is about 262.2088733137.

The spelling of 18027776 in words is "eighteen million, twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 5417 10834 21668 43336 70421 86672 140842 173344 281684 346688 563368 693376 1126736 1386752 2253472 4506944 9013888 18027776