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27443104 = 2513411609
BaseRepresentation
bin110100010101…
…1111110100000
31220122020212021
41220223332200
524011134404
62420111224
7452156023
oct150537640
956566767
1027443104
1114544457
129235514
1358bb230
1439051ba
152621454
hex1a2bfa0

27443104 has 48 divisors (see below), whose sum is σ = 59640840. Its totient is φ = 12349440.

The previous prime is 27443089. The next prime is 27443137. The reversal of 27443104 is 40134472.

It can be written as a sum of positive squares in 4 ways, for example, as 19891600 + 7551504 = 4460^2 + 2748^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16252 + ... + 17860.

Almost surely, 227443104 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 27443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820420).

27443104 is an abundant number, since it is smaller than the sum of its proper divisors (32197736).

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

27443104 is a wasteful number, since it uses less digits than its factorization.

27443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 27443104 is about 5238.6166112820. The cubic root of 27443104 is about 301.6322292459.

Adding to 27443104 its reverse (40134472), we get a palindrome (67577576).

The spelling of 27443104 in words is "twenty-seven million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 1609 2132 3218 4264 6436 8528 12872 17056 20917 25744 41834 51488 65969 83668 131938 167336 263876 334672 527752 669344 857597 1055504 1715194 2111008 3430388 6860776 13721552 27443104