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27927144 = 2332755411
BaseRepresentation
bin110101010001…
…0001001101000
31221112211211200
41222202021220
524122132034
62434324200
7456243150
oct152421150
957484750
1027927144
1114845093
129429660
135a2a64b
1439cd760
1526b9a99
hex1aa2268

27927144 has 48 divisors (see below), whose sum is σ = 86442720. Its totient is φ = 7979040.

The previous prime is 27927143. The next prime is 27927149. The reversal of 27927144 is 44172972.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27927099 and 27927108.

It is not an unprimeable number, because it can be changed into a prime (27927143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27202 + ... + 28209.

It is an arithmetic number, because the mean of its divisors is an integer number (1800890).

Almost surely, 227927144 is an apocalyptic number.

27927144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27927144 is an abundant number, since it is smaller than the sum of its proper divisors (58515576).

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

27927144 is a wasteful number, since it uses less digits than its factorization.

27927144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55430 (or 55423 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27927144 is about 5284.6138931808. The cubic root of 27927144 is about 303.3952949407.

The spelling of 27927144 in words is "twenty-seven million, nine hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 55411 110822 166233 221644 332466 387877 443288 498699 664932 775754 997398 1163631 1329864 1551508 1994796 2327262 3103016 3490893 3989592 4654524 6981786 9309048 13963572 27927144