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18048132 = 22324389131
BaseRepresentation
bin100010011011…
…0010010000100
31020221221101100
41010312102010
514110020012
61442500100
7306256314
oct104662204
936857340
1018048132
11a207913
126064630
13397bb8b
14257b444
1518b78dc
hex1136484

18048132 has 72 divisors (see below), whose sum is σ = 47567520. Its totient is φ = 5765760.

The previous prime is 18048113. The next prime is 18048133. The reversal of 18048132 is 23184081.

18048132 is a `hidden beast` number, since 180 + 481 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18048096 and 18048105.

It is not an unprimeable number, because it can be changed into a prime (18048133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137707 + ... + 137837.

It is an arithmetic number, because the mean of its divisors is an integer number (660660).

Almost surely, 218048132 is an apocalyptic number.

18048132 is a gapful number since it is divisible by the number (12) 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 18048132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

18048132 is an abundant number, since it is smaller than the sum of its proper divisors (29519388).

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

18048132 is a wasteful number, since it uses less digits than its factorization.

18048132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18048132 is about 4248.3093107729. The cubic root of 18048132 is about 262.3075269345.

The spelling of 18048132 in words is "eighteen million, forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 89 129 131 172 178 258 262 267 356 387 393 516 524 534 774 786 801 1068 1179 1548 1572 1602 2358 3204 3827 4716 5633 7654 11266 11481 11659 15308 16899 22532 22962 23318 33798 34443 34977 45924 46636 50697 67596 68886 69954 101394 104931 137772 139908 202788 209862 419724 501337 1002674 1504011 2005348 3008022 4512033 6016044 9024066 18048132