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42540405 = 354783727
BaseRepresentation
bin1010001001000…
…1110101110101
32222001021110120
42202101311311
541342243110
64115442153
71024405335
oct242216565
988037416
1042540405
1122016266
12122b6359
138a75c4b
1459150c5
153b04870
hex2891d75

42540405 has 32 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 21907776.

The previous prime is 42540403. The next prime is 42540413. The reversal of 42540405 is 50404524.

42540405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42540405 - 21 = 42540403 is a prime.

It is a super-3 number, since 3×425404053 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58152 + ... + 58878.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 242540405 is an apocalyptic number.

It is an amenable number.

42540405 is a deficient number, since it is larger than the sum of its proper divisors (27906699).

42540405 is a wasteful number, since it uses less digits than its factorization.

42540405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42540405 is about 6522.3005910491. The cubic root of 42540405 is about 349.0871586869.

Adding to 42540405 its reverse (50404524), we get a palindrome (92944929).

The spelling of 42540405 in words is "forty-two million, five hundred forty thousand, four hundred five".

Divisors: 1 3 5 15 47 83 141 235 249 415 705 727 1245 2181 3635 3901 10905 11703 19505 34169 58515 60341 102507 170845 181023 301705 512535 905115 2836027 8508081 14180135 42540405