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18275625 = 3454192
BaseRepresentation
bin100010110110…
…1110100101001
31021101111110000
41011231310221
514134310000
61451413213
7311224464
oct105556451
937344400
1018275625
11a352825
126154209
133a2b5a4
1425da2db
151910000
hex116dd29

18275625 has 75 divisors (see below), whose sum is σ = 36004881. Its totient is φ = 9234000.

The previous prime is 18275573. The next prime is 18275633. The reversal of 18275625 is 52657281.

It is a happy number.

The square root of 18275625 is 4275.

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

18275625 is a `hidden beast` number, since 1 + 8 + 27 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1432809 + 16842816 = 1197^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 18275625 - 27 = 18275497 is a prime.

Its product of digits (33600) is a multiple of the sum of its prime factors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 18275625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 961866 + ... + 961884.

Almost surely, 218275625 is an apocalyptic number.

18275625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18275625 is the 4275-th square number.

18275625 is the 2138-th centered octagonal number.

It is an amenable number.

18275625 is a deficient number, since it is larger than the sum of its proper divisors (17729256).

18275625 is an frugal number, since it uses more digits than its factorization.

18275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The cubic root of 18275625 is about 263.4050393129.

Multiplying 18275625 by its sum of digits (36), we get a square (657922500 = 256502).

The spelling of 18275625 in words is "eighteen million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 125 135 171 225 285 361 375 405 475 513 625 675 855 1083 1125 1425 1539 1805 1875 2025 2375 2565 3249 3375 4275 5415 5625 7125 7695 9025 9747 10125 11875 12825 16245 16875 21375 27075 29241 35625 38475 45125 48735 50625 64125 81225 106875 135375 146205 192375 225625 243675 320625 406125 676875 731025 961875 1218375 2030625 3655125 6091875 18275625