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272558041 = 7223323873
BaseRepresentation
bin10000001111101…
…110011111011001
3200222212101100021
4100033232133121
51024233324131
643013510441
76516463600
oct2017563731
9628771307
10272558041
1112a940988
1277342421
1344610262
14282aca37
1518ddce11
hex103ee7d9

272558041 has 12 divisors (see below), whose sum is σ = 318431412. Its totient is φ = 232608768.

The previous prime is 272558023. The next prime is 272558051. The reversal of 272558041 is 140855272.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43943641 + 228614400 = 6629^2 + 15120^2 .

It is not a de Polignac number, because 272558041 - 211 = 272555993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272557988 and 272558006.

It is not an unprimeable number, because it can be changed into a prime (272558051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520 + ... + 23353.

It is an arithmetic number, because the mean of its divisors is an integer number (26535951).

Almost surely, 2272558041 is an apocalyptic number.

It is an amenable number.

272558041 is a deficient number, since it is larger than the sum of its proper divisors (45873371).

272558041 is a wasteful number, since it uses less digits than its factorization.

272558041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24120 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 272558041 is about 16509.3319368168. The cubic root of 272558041 is about 648.3651546880.

The spelling of 272558041 in words is "two hundred seventy-two million, five hundred fifty-eight thousand, forty-one".

Divisors: 1 7 49 233 1631 11417 23873 167111 1169777 5562409 38936863 272558041