Search a number
-
+
42381097 = 112350257
BaseRepresentation
bin1010000110101…
…0111100101001
32221202011221021
42201222330221
541322143342
64112212441
71023143023
oct241527451
987664837
1042381097
1121a17600
121223a121
138a1b595
1458b3013
153ac2567
hex286af29

42381097 has 6 divisors (see below), whose sum is σ = 46584314. Its totient is φ = 38528160.

The previous prime is 42381071. The next prime is 42381109. The reversal of 42381097 is 79018324.

42381097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36735721 + 5645376 = 6061^2 + 2376^2 .

It is not a de Polignac number, because 42381097 - 219 = 41856809 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42381197) 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 5 ways as a sum of consecutive naturals, for example, 175008 + ... + 175249.

Almost surely, 242381097 is an apocalyptic number.

It is an amenable number.

42381097 is a deficient number, since it is larger than the sum of its proper divisors (4203217).

42381097 is a wasteful number, since it uses less digits than its factorization.

42381097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350279 (or 350268 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 42381097 is about 6510.0765740504. The cubic root of 42381097 is about 348.6508523712.

It can be divided in two parts, 4238 and 1097, that added together give a palindrome (5335).

The spelling of 42381097 in words is "forty-two million, three hundred eighty-one thousand, ninety-seven".

Divisors: 1 11 121 350257 3852827 42381097