Search a number
-
+
273625261 = 72131014253
BaseRepresentation
bin10000010011110…
…011000010101101
3201001212121021221
4100103303002231
51030022002021
643052423341
76531530200
oct2023630255
9631777257
10273625261
111304aa788
1277777b51
13448c4c50
14284a9937
151904e241
hex104f30ad

273625261 has 24 divisors (see below), whose sum is σ = 346258584. Its totient is φ = 214300800.

The previous prime is 273625259. The next prime is 273625283. The reversal of 273625261 is 162526372.

It can be written as a sum of positive squares in 4 ways, for example, as 18232900 + 255392361 = 4270^2 + 15981^2 .

It is not a de Polignac number, because 273625261 - 21 = 273625259 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273625201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62211 + ... + 66463.

It is an arithmetic number, because the mean of its divisors is an integer number (14427441).

Almost surely, 2273625261 is an apocalyptic number.

It is an amenable number.

273625261 is a deficient number, since it is larger than the sum of its proper divisors (72633323).

273625261 is a wasteful number, since it uses less digits than its factorization.

273625261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4374 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 273625261 is about 16541.6220788652. The cubic root of 273625261 is about 649.2102922270.

It can be divided in two parts, 27362 and 5261, that added together give a palindrome (32623).

The spelling of 273625261 in words is "two hundred seventy-three million, six hundred twenty-five thousand, two hundred sixty-one".

Divisors: 1 7 13 49 91 101 637 707 1313 4253 4949 9191 29771 55289 64337 208397 387023 429553 2709161 3006871 5584189 21048097 39089323 273625261