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542274369 = 371359131257
BaseRepresentation
bin100000010100100…
…111001101000001
31101210101101120220
4200110213031001
52102310234434
6125450453253
716303153560
oct4024471501
91353341526
10542274369
1125911083a
12131734229
1388466c10
145203bbd7
1532918d49
hex20527341

542274369 has 64 divisors (see below), whose sum is σ = 915425280. Its totient is φ = 277954560.

The previous prime is 542274367. The next prime is 542274373. The reversal of 542274369 is 963472245.

It is not a de Polignac number, because 542274369 - 21 = 542274367 is a prime.

It is a super-2 number, since 2×5422743692 = 588122982548696322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542274369.

It is not an unprimeable number, because it can be changed into a prime (542274367) 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 63 ways as a sum of consecutive naturals, for example, 2109889 + ... + 2110145.

It is an arithmetic number, because the mean of its divisors is an integer number (14303520).

Almost surely, 2542274369 is an apocalyptic number.

542274369 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

542274369 is a deficient number, since it is larger than the sum of its proper divisors (373150911).

542274369 is a wasteful number, since it uses less digits than its factorization.

542274369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its digits is 362880, while the sum is 42.

The square root of 542274369 is about 23286.7852869390. The cubic root of 542274369 is about 815.4669405730.

It can be divided in two parts, 542 and 274369, that added together give a triangular number (274911 = T741).

The spelling of 542274369 in words is "five hundred forty-two million, two hundred seventy-four thousand, three hundred sixty-nine".

Divisors: 1 3 7 13 21 39 59 91 131 177 257 273 393 413 767 771 917 1239 1703 1799 2301 2751 3341 5109 5369 5397 7729 10023 11921 15163 16107 23187 23387 33667 35763 45489 54103 70161 100477 101001 106141 162309 197119 235669 301431 318423 437671 591357 703339 707007 1313013 1379833 1986353 2110017 3063697 4139499 5959059 9191091 13904471 25822589 41713413 77467767 180758123 542274369