Search a number
-
+
18053472 = 253892113
BaseRepresentation
bin100010011011…
…1100101100000
31020222012201010
41010313211200
514110202342
61442540520
7306311013
oct104674540
936865633
1018053472
11a210928
126067740
133981438
14257d37a
1518b929c
hex1137960

18053472 has 48 divisors (see below), whose sum is σ = 47945520. Its totient is φ = 5947392.

The previous prime is 18053461. The next prime is 18053509. The reversal of 18053472 is 27435081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7488 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (998865).

Almost surely, 218053472 is an apocalyptic number.

18053472 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 18053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23972760).

18053472 is an abundant number, since it is smaller than the sum of its proper divisors (29892048).

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

18053472 is a wasteful number, since it uses less digits than its factorization.

18053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 18053472 is about 4248.9377496028. The cubic root of 18053472 is about 262.3333945067. Note that the first 4 decimals are identical.

The spelling of 18053472 in words is "eighteen million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2113 2136 2848 4226 4272 6339 8452 8544 12678 16904 25356 33808 50712 67616 101424 188057 202848 376114 564171 752228 1128342 1504456 2256684 3008912 4513368 6017824 9026736 18053472