Search a number
-
+
18388125 = 32547467
BaseRepresentation
bin100011000100…
…1010010011101
31021121012202200
41012021102131
514201410000
61454042113
7312203460
oct106112235
937535680
1018388125
11a41a2a8
1261a9339
133a6a862
1426292d7
151933500
hex118949d

18388125 has 60 divisors (see below), whose sum is σ = 38012832. Its totient is φ = 8388000.

The previous prime is 18388103. The next prime is 18388129. The reversal of 18388125 is 52188381.

It is not a de Polignac number, because 18388125 - 29 = 18387613 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18388125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18388129) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 39142 + ... + 39608.

Almost surely, 218388125 is an apocalyptic number.

18388125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18388125 is an abundant number, since it is smaller than the sum of its proper divisors (19624707).

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

18388125 is an equidigital number, since it uses as much as digits as its factorization.

18388125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 18388125 is about 4288.1377076768. The cubic root of 18388125 is about 263.9444183953.

The spelling of 18388125 in words is "eighteen million, three hundred eighty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 467 525 625 875 1125 1401 1575 1875 2335 2625 3269 4203 4375 5625 7005 7875 9807 11675 13125 16345 21015 29421 35025 39375 49035 58375 81725 105075 147105 175125 245175 291875 408625 525375 735525 875625 1225875 2043125 2626875 3677625 6129375 18388125