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542142018 = 233111934729
BaseRepresentation
bin100000010100000…
…110111001000010
31101210010200001000
4200110012321002
52102242021033
6125443552430
716302062655
oct4024067102
91353120030
10542142018
11259030360
1213168b716
138841b8c2
145200589c
15328dea13
hex20506e42

542142018 has 64 divisors (see below), whose sum is σ = 1321372800. Its totient is φ = 163399680.

The previous prime is 542142001. The next prime is 542142023. The reversal of 542142018 is 810241245.

It is a super-2 number, since 2×5421420182 = 587835935362224648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 542141982 and 542142000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112278 + ... + 117006.

It is an arithmetic number, because the mean of its divisors is an integer number (20646450).

Almost surely, 2542142018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542142018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660686400).

542142018 is an abundant number, since it is smaller than the sum of its proper divisors (779230782).

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

542142018 is a wasteful number, since it uses less digits than its factorization.

542142018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 542142018 is about 23283.9433515889. The cubic root of 542142018 is about 815.4005924579.

The spelling of 542142018 in words is "five hundred forty-two million, one hundred forty-two thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 193 198 297 386 579 594 1158 1737 2123 3474 4246 4729 5211 6369 9458 10422 12738 14187 19107 28374 38214 42561 52019 57321 85122 104038 114642 127683 156057 255366 312114 468171 912697 936342 1404513 1825394 2738091 2809026 5476182 8214273 10039667 16428546 20079334 24642819 30119001 49285638 60238002 90357003 180714006 271071009 542142018