Search a number
-
+
27418638 = 2313714951
BaseRepresentation
bin110100010011…
…0000000001110
31220121000022010
41220212000032
524004344023
62415402050
7452024502
oct150460016
956530263
1027418638
1114528035
129223326
1358b0060
1438da302
152619093
hex1a2600e

27418638 has 32 divisors (see below), whose sum is σ = 59899392. Its totient is φ = 8316000.

The previous prime is 27418631. The next prime is 27418639. The reversal of 27418638 is 83681472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 27418596 and 27418605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27418631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3063 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (1871856).

Almost surely, 227418638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27418638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29949696).

27418638 is an abundant number, since it is smaller than the sum of its proper divisors (32480754).

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

27418638 is a wasteful number, since it uses less digits than its factorization.

27418638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040.

The product of its digits is 64512, while the sum is 39.

The square root of 27418638 is about 5236.2809321120. The cubic root of 27418638 is about 301.5425658188.

The spelling of 27418638 in words is "twenty-seven million, four hundred eighteen thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1846 2769 4951 5538 9902 14853 29706 64363 128726 193089 351521 386178 703042 1054563 2109126 4569773 9139546 13709319 27418638