Search a number
-
+
27255144 = 2337533061
BaseRepresentation
bin110011111111…
…0000101101000
31220021201000210
41213332011220
523434131034
62412101120
7450444030
oct147760550
956251023
1027255144
1114426214
1291647a0
135853807
1438968c0
1525d58e9
hex19fe168

27255144 has 64 divisors (see below), whose sum is σ = 79367040. Its totient is φ = 7637760.

The previous prime is 27255103. The next prime is 27255149. The reversal of 27255144 is 44155272.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27255149) 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, 7374 + ... + 10434.

It is an arithmetic number, because the mean of its divisors is an integer number (1240110).

Almost surely, 227255144 is an apocalyptic number.

27255144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27255144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39683520).

27255144 is an abundant number, since it is smaller than the sum of its proper divisors (52111896).

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

27255144 is a wasteful number, since it uses less digits than its factorization.

27255144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 27255144 is about 5220.6459370465. The cubic root of 27255144 is about 300.9420166968.

The spelling of 27255144 in words is "twenty-seven million, two hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 3061 4452 6122 8904 9183 12244 18366 21427 24488 36732 42854 64281 73464 85708 128562 162233 171416 257124 324466 486699 514248 648932 973398 1135631 1297864 1946796 2271262 3406893 3893592 4542524 6813786 9085048 13627572 27255144