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542769018 = 231131311853
BaseRepresentation
bin100000010110011…
…111111101111010
31101211022112010020
4200112133331322
52102422102033
6125505231310
716310313651
oct4026377572
91354275106
10542769018
11259419440
12131932536
13885ab0cc
145212a198
15329b56b3
hex2059ff7a

542769018 has 64 divisors (see below), whose sum is σ = 1227792384. Its totient is φ = 158472000.

The previous prime is 542769011. The next prime is 542769037. The reversal of 542769018 is 810967245.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (542769011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635880 + ... + 636732.

It is an arithmetic number, because the mean of its divisors is an integer number (19184256).

Almost surely, 2542769018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542769018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613896192).

542769018 is an abundant number, since it is smaller than the sum of its proper divisors (685023366).

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

542769018 is a wasteful number, since it uses less digits than its factorization.

542769018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 542769018 is about 23297.4036750879. The cubic root of 542769018 is about 815.7148146775.

The spelling of 542769018 in words is "five hundred forty-two million, seven hundred sixty-nine thousand, eighteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 311 341 622 682 853 933 1023 1706 1866 2046 2559 3421 5118 6842 9383 9641 10263 18766 19282 20526 26443 28149 28923 52886 56298 57846 79329 106051 158658 212102 265283 290873 318153 530566 581746 636306 795849 872619 1591698 1745238 2918113 5836226 8223773 8754339 16447546 17508678 24671319 49342638 90461503 180923006 271384509 542769018