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27112416 = 2531737449
BaseRepresentation
bin110011101101…
…1001111100000
31220000110020120
41213123033200
523420044131
62405040240
7446310642
oct147331740
956013216
1027112416
1114338a61
1290b6080
135803866
14385a892
1525a8496
hex19db3e0

27112416 has 96 divisors (see below), whose sum is σ = 77565600. Its totient is φ = 8257536.

The previous prime is 27112369. The next prime is 27112427. The reversal of 27112416 is 61421172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60160 + ... + 60608.

It is an arithmetic number, because the mean of its divisors is an integer number (807975).

Almost surely, 227112416 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 27112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38782800).

27112416 is an abundant number, since it is smaller than the sum of its proper divisors (50453184).

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

27112416 is a wasteful number, since it uses less digits than its factorization.

27112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 27112416 is about 5206.9584211899. The cubic root of 27112416 is about 300.4157790486.

Adding to 27112416 its reverse (61421172), we get a palindrome (88533588).

The spelling of 27112416 in words is "twenty-seven million, one hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 449 544 592 629 816 888 898 1184 1258 1347 1632 1776 1796 1887 2516 2694 3552 3592 3774 5032 5388 7184 7548 7633 10064 10776 14368 15096 15266 16613 20128 21552 22899 30192 30532 33226 43104 45798 49839 60384 61064 66452 91596 99678 122128 132904 183192 199356 244256 265808 282421 366384 398712 531616 564842 732768 797424 847263 1129684 1594848 1694526 2259368 3389052 4518736 6778104 9037472 13556208 27112416