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208545025 = 52132321213
BaseRepresentation
bin11000110111000…
…10010100000001
3112112102011222211
430123202110001
5411341420100
632405502121
75111413663
oct1433422401
9475364884
10208545025
11a7799a67
1259a11941
1334289830
141d9a8533
15134961ba
hexc6e2501

208545025 has 36 divisors (see below), whose sum is σ = 291362428. Its totient is φ = 147185280.

The previous prime is 208545023. The next prime is 208545047. The reversal of 208545025 is 520545802.

It can be written as a sum of positive squares in 6 ways, for example, as 72029169 + 136515856 = 8487^2 + 11684^2 .

It is not a de Polignac number, because 208545025 - 21 = 208545023 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208545023) 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 35 ways as a sum of consecutive naturals, for example, 171319 + ... + 172531.

Almost surely, 2208545025 is an apocalyptic number.

208545025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208545025 is a deficient number, since it is larger than the sum of its proper divisors (82817403).

208545025 is a wasteful number, since it uses less digits than its factorization.

208545025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 208545025 is about 14441.0880822741. The cubic root of 208545025 is about 593.0162733567.

The spelling of 208545025 in words is "two hundred eight million, five hundred forty-five thousand, twenty-five".

Divisors: 1 5 13 23 25 65 115 299 325 529 575 1213 1495 2645 6065 6877 7475 13225 15769 27899 30325 34385 78845 139495 171925 362687 394225 641677 697475 1813435 3208385 8341801 9067175 16041925 41709005 208545025