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27438444 = 22321126299
BaseRepresentation
bin110100010101…
…0110101101100
31220122000110200
41220222311230
524011012234
62420033500
7452136315
oct150526554
956560420
1027438444
1114540a00
129232890
1358b9087
14390360c
15261ed99
hex1a2ad6c

27438444 has 54 divisors (see below), whose sum is σ = 76248900. Its totient is φ = 8313360.

The previous prime is 27438431. The next prime is 27438469. The reversal of 27438444 is 44483472.

It is a happy number.

27438444 is a `hidden beast` number, since 274 + 384 + 4 + 4 = 666.

It is a super-2 number, since 2×274384442 = 1505736418282272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27438399 and 27438408.

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 17 ways as a sum of consecutive naturals, for example, 1207 + ... + 7505.

Almost surely, 227438444 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 27438444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38124450).

27438444 is an abundant number, since it is smaller than the sum of its proper divisors (48810456).

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

27438444 is a wasteful number, since it uses less digits than its factorization.

27438444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6315 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 27438444 is about 5238.1718184878. The cubic root of 27438444 is about 301.6151553056.

The spelling of 27438444 in words is "twenty-seven million, four hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6299 12598 18897 25196 37794 56691 69289 75588 113382 138578 207867 226764 277156 415734 623601 762179 831468 1247202 1524358 2286537 2494404 3048716 4573074 6859611 9146148 13719222 27438444