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42105555 = 335615113
BaseRepresentation
bin1010000010011…
…1101011010011
32221020011222000
42200213223103
541234334210
64102245043
71020614502
oct240475323
987204860
1042105555
1121849588
1212126783
13895303b
145840839
153a6aac0
hex2827ad3

42105555 has 32 divisors (see below), whose sum is σ = 76096320. Its totient is φ = 22083840.

The previous prime is 42105523. The next prime is 42105563. The reversal of 42105555 is 55550124.

42105555 is a `hidden beast` number, since 4 + 2 + 105 + 555 = 666.

42105555 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 42105555 - 25 = 42105523 is a prime.

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

42105555 is a modest number, since divided by 5555 gives 4210 as remainder.

It is an unprimeable number.

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, 5679 + ... + 10791.

It is an arithmetic number, because the mean of its divisors is an integer number (2378010).

Almost surely, 242105555 is an apocalyptic number.

42105555 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42105555 is a deficient number, since it is larger than the sum of its proper divisors (33990765).

42105555 is a wasteful number, since it uses less digits than its factorization.

42105555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 42105555 is about 6488.8793331360. The cubic root of 42105555 is about 347.8936208734.

Adding to 42105555 its reverse (55550124), we get a palindrome (97655679).

The spelling of 42105555 in words is "forty-two million, one hundred five thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 61 135 183 305 549 915 1647 2745 5113 8235 15339 25565 46017 76695 138051 230085 311893 690255 935679 1559465 2807037 4678395 8421111 14035185 42105555