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272871441 = 32413891901
BaseRepresentation
bin10000010000111…
…011000000010001
3201000110022020200
4100100323000101
51024323341231
643024325413
76522240363
oct2020730021
9630408220
10272871441
11130035397
1277473869
13446bcabb
1428350d33
1518e50be6
hex1043b011

272871441 has 24 divisors (see below), whose sum is σ = 405011880. Its totient is φ = 176928000.

The previous prime is 272871427. The next prime is 272871461. The reversal of 272871441 is 144178272.

It can be written as a sum of positive squares in 4 ways, for example, as 20061441 + 252810000 = 4479^2 + 15900^2 .

It is not a de Polignac number, because 272871441 - 213 = 272863249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 272871396 and 272871405.

It is not an unprimeable number, because it can be changed into a prime (272871461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142591 + ... + 144491.

It is an arithmetic number, because the mean of its divisors is an integer number (16875495).

Almost surely, 2272871441 is an apocalyptic number.

It is an amenable number.

272871441 is a deficient number, since it is larger than the sum of its proper divisors (132140439).

272871441 is a wasteful number, since it uses less digits than its factorization.

272871441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2334 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 272871441 is about 16518.8208114260. The cubic root of 272871441 is about 648.6135663736.

The spelling of 272871441 in words is "two hundred seventy-two million, eight hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 389 1167 1901 3501 5703 15949 17109 47847 77941 143541 233823 701469 739489 2218467 6655401 30319049 90957147 272871441