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272131325 = 52175211229
BaseRepresentation
bin10000001110000…
…110010011111101
3200222001200222222
4100032012103331
51024131200300
643000415125
76513035534
oct2016062375
9628050888
10272131325
1112a67a324
12771774a5
13444c0c6b
14281db31b
1518d56785
hex103864fd

272131325 has 24 divisors (see below), whose sum is σ = 358269480. Its totient is φ = 204339200.

The previous prime is 272131313. The next prime is 272131399. The reversal of 272131325 is 523131272.

It can be written as a sum of positive squares in 12 ways, for example, as 7027801 + 265103524 = 2651^2 + 16282^2 .

It is not a de Polignac number, because 272131325 - 228 = 3695869 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 272131294 and 272131303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220811 + ... + 222039.

It is an arithmetic number, because the mean of its divisors is an integer number (14927895).

Almost surely, 2272131325 is an apocalyptic number.

272131325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

272131325 is a deficient number, since it is larger than the sum of its proper divisors (86138155).

272131325 is a wasteful number, since it uses less digits than its factorization.

272131325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1772 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 272131325 is about 16496.4033958921. The cubic root of 272131325 is about 648.0266184831.

Adding to 272131325 its reverse (523131272), we get a palindrome (795262597).

The spelling of 272131325 in words is "two hundred seventy-two million, one hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 425 521 1229 2605 6145 8857 13025 20893 30725 44285 104465 221425 522325 640309 3201545 10885253 16007725 54426265 272131325