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542111405 = 511671311123
BaseRepresentation
bin100000010011111…
…111011010101101
31101210002010001012
4200103333122231
52102240031110
6125443155005
716301604503
oct4023773255
91353063035
10542111405
1125900a360
12131675a65
138840a9a4
1451dd8673
15328d5905
hex204ff6ad

542111405 has 32 divisors (see below), whose sum is σ = 726409728. Its totient is φ = 385070400.

The previous prime is 542111399. The next prime is 542111417. The reversal of 542111405 is 504111245.

It is not a de Polignac number, because 542111405 - 216 = 542045869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482174 + ... + 483296.

It is an arithmetic number, because the mean of its divisors is an integer number (22700304).

Almost surely, 2542111405 is an apocalyptic number.

542111405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542111405 is a deficient number, since it is larger than the sum of its proper divisors (184298323).

542111405 is a wasteful number, since it uses less digits than its factorization.

542111405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 542111405 is about 23283.2859579571. The cubic root of 542111405 is about 815.3852444941.

The spelling of 542111405 in words is "five hundred forty-two million, one hundred eleven thousand, four hundred five".

Divisors: 1 5 11 55 67 131 335 655 737 1123 1441 3685 5615 7205 8777 12353 43885 61765 75241 96547 147113 376205 482735 735565 827651 1618243 4138255 8091215 9856571 49282855 108422281 542111405