Search a number
-
+
18533025 = 325272412
BaseRepresentation
bin100011010110…
…0101010100001
31021212120112100
41012230222201
514221024100
61501121013
7313346100
oct106545241
937776470
1018533025
11a509155
126259169
133abb7b4
142666037
151961400
hex11acaa1

18533025 has 81 divisors (see below), whose sum is σ = 39579033. Its totient is φ = 8265600.

The previous prime is 18533023. The next prime is 18533027. The reversal of 18533025 is 52033581.

The square root of 18533025 is 4305.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (18533023) and next prime (18533027).

It can be written as a sum of positive squares in 4 ways, for example, as 7800849 + 10732176 = 2793^2 + 3276^2 .

It is not a de Polignac number, because 18533025 - 21 = 18533023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18533025.

It is not an unprimeable number, because it can be changed into a prime (18533023) 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 80 ways as a sum of consecutive naturals, for example, 452005 + ... + 452045.

Almost surely, 218533025 is an apocalyptic number.

18533025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18533025 is the 4305-th square number.

18533025 is the 2153-rd centered octagonal number.

It is an amenable number.

18533025 is an abundant number, since it is smaller than the sum of its proper divisors (21046008).

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

18533025 is a wasteful number, since it uses less digits than its factorization.

18533025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 18533025 is about 264.6359067758.

Multiplying 18533025 by its product of nonzero digits (3600), we get a square (66718890000 = 2583002).

The spelling of 18533025 in words is "eighteen million, five hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 41 45 49 63 75 105 123 147 175 205 225 245 287 315 369 441 525 615 735 861 1025 1225 1435 1575 1681 1845 2009 2205 2583 3075 3675 4305 5043 6027 7175 8405 9225 10045 11025 11767 12915 15129 18081 21525 25215 30135 35301 42025 50225 58835 64575 75645 82369 90405 105903 126075 150675 176505 247107 294175 378225 411845 452025 529515 741321 882525 1235535 2059225 2647575 3706605 6177675 18533025