Search a number
-
+
42256107 = 331565041
BaseRepresentation
bin1010000100110…
…0011011101011
32221111211111000
42201030123223
541304143412
64105410043
71022112435
oct241143353
987454430
1042256107
1121941703
1212199923
1389a671a
14587d655
153a9a4dc
hex284c6eb

42256107 has 8 divisors (see below), whose sum is σ = 62601680. Its totient is φ = 28170720.

The previous prime is 42256061. The next prime is 42256111. The reversal of 42256107 is 70165224.

42256107 is a `hidden beast` number, since 42 + 2 + 5 + 610 + 7 = 666.

42256107 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 42256107 - 214 = 42239723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1565041 = 42256107 / (4 + 2 + 2 + 5 + 6 + 1 + 0 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42256157) 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 7 ways as a sum of consecutive naturals, for example, 782494 + ... + 782547.

It is an arithmetic number, because the mean of its divisors is an integer number (7825210).

Almost surely, 242256107 is an apocalyptic number.

42256107 is a deficient number, since it is larger than the sum of its proper divisors (20345573).

42256107 is a wasteful number, since it uses less digits than its factorization.

42256107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565050 (or 1565044 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42256107 is about 6500.4697522564. The cubic root of 42256107 is about 348.3077687538.

The spelling of 42256107 in words is "forty-two million, two hundred fifty-six thousand, one hundred seven".

Divisors: 1 3 9 27 1565041 4695123 14085369 42256107