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27413144 = 23111512063
BaseRepresentation
bin110100010010…
…0101010011000
31220120201202122
41220210222120
524004210034
62415320412
7452002463
oct150445230
956521678
1027413144
11145239a0
129220108
1358aa6c5
1438d82da
15261762e
hex1a24a98

27413144 has 32 divisors (see below), whose sum is σ = 56471040. Its totient is φ = 12372000.

The previous prime is 27413131. The next prime is 27413153. The reversal of 27413144 is 44131472.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12257 + ... + 14319.

It is an arithmetic number, because the mean of its divisors is an integer number (1764720).

Almost surely, 227413144 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 27413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28235520).

27413144 is an abundant number, since it is smaller than the sum of its proper divisors (29057896).

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

27413144 is a wasteful number, since it uses less digits than its factorization.

27413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2227 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 27413144 is about 5235.7562968496. The cubic root of 27413144 is about 301.5224239780.

It can be divided in two parts, 2741 and 3144, that added together give a palindrome (5885).

The spelling of 27413144 in words is "twenty-seven million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 2063 3322 4126 6644 8252 13288 16504 22693 45386 90772 181544 311513 623026 1246052 2492104 3426643 6853286 13706572 27413144