Search a number
-
+
18027648 = 273215649
BaseRepresentation
bin100010011000…
…1010010000000
31020220220021200
41010301102000
514103341043
61442221200
7306142512
oct104612200
936826250
1018027648
11a1a3491
126054800
133972762
142573bb2
1518b17d3
hex1131480

18027648 has 48 divisors (see below), whose sum is σ = 51879750. Its totient is φ = 6008832.

The previous prime is 18027643. The next prime is 18027661. The reversal of 18027648 is 84672081.

18027648 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 7 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17239104 + 788544 = 4152^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (18027643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6673 + ... + 8976.

Almost surely, 218027648 is an apocalyptic number.

18027648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18027648 is an abundant number, since it is smaller than the sum of its proper divisors (33852102).

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

18027648 is a wasteful number, since it uses less digits than its factorization.

18027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18027648 is about 4245.8977849213. The cubic root of 18027648 is about 262.2082527377.

The spelling of 18027648 in words is "eighteen million, twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 15649 31298 46947 62596 93894 125192 140841 187788 250384 281682 375576 500768 563364 751152 1001536 1126728 1502304 2003072 2253456 3004608 4506912 6009216 9013824 18027648