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542640272 = 24172117353
BaseRepresentation
bin100000010110000…
…000100010010000
31101211001222111212
4200112000202100
52102403442042
6125502355252
716306236416
oct4026004220
91354058455
10542640272
11259340739
1213188bb28
1388564625
14520d52b6
153298c482
hex20580890

542640272 has 30 divisors (see below), whose sum is σ = 1116858018. Its totient is φ = 255357952.

The previous prime is 542640271. The next prime is 542640299. The reversal of 542640272 is 272046245.

It can be written as a sum of positive squares in 3 ways, for example, as 183765136 + 358875136 = 13556^2 + 18944^2 .

It is not an unprimeable number, because it can be changed into a prime (542640271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54053 + ... + 63300.

Almost surely, 2542640272 is an apocalyptic number.

It is an amenable number.

542640272 is an abundant number, since it is smaller than the sum of its proper divisors (574217746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542640272 is a wasteful number, since it uses less digits than its factorization.

542640272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117395 (or 117372 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 542640272 is about 23294.6404136230. The cubic root of 542640272 is about 815.6503131303.

The spelling of 542640272 in words is "five hundred forty-two million, six hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 117353 234706 469412 938824 1877648 1995001 3990002 7980004 15960008 31920016 33915017 67830034 135660068 271320136 542640272