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542284369 = 112292732
BaseRepresentation
bin100000010100101…
…001101001010001
31101210101220022021
4200110221221101
52102311044434
6125451011441
716303224664
oct4024515121
91353356267
10542284369
11259118300
12131739b81
138846b633
14520416db
153291bcb4
hex20529a51

542284369 has 27 divisors (see below), whose sum is σ = 625899729. Its totient is φ = 469465920.

The previous prime is 542284357. The next prime is 542284381. The reversal of 542284369 is 963482245.

The square root of 542284369 is 23287.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (542284357) and next prime (542284381).

It can be written as a sum of positive squares in 4 ways, for example, as 4601025 + 537683344 = 2145^2 + 23188^2 .

It is not a de Polignac number, because 542284369 - 227 = 408066641 is a prime.

It is a super-2 number, since 2×5422843692 = 588144673723456322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542284669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7428517 + ... + 7428589.

Almost surely, 2542284369 is an apocalyptic number.

542284369 is the 23287-th square number.

542284369 is the 11644-th centered octagonal number.

It is an amenable number.

542284369 is a deficient number, since it is larger than the sum of its proper divisors (83615360).

542284369 is an equidigital number, since it uses as much as digits as its factorization.

542284369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The cubic root of 542284369 is about 815.4719531765.

The spelling of 542284369 in words is "five hundred forty-two million, two hundred eighty-four thousand, three hundred sixty-nine".

Divisors: 1 11 29 73 121 319 803 841 2117 3509 5329 8833 9251 23287 58619 61393 101761 154541 256157 644809 675323 1699951 4481689 7428553 18699461 49298579 542284369