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42580233 = 327616217
BaseRepresentation
bin1010001001101…
…1100100001001
32222010022002200
42202123210021
541400031413
64120350413
71024632423
oct242334411
988108080
1042580233
1122043183
1212315409
138a8b107
145925813
153b11573
hex289b909

42580233 has 12 divisors (see below), whose sum is σ = 61595508. Its totient is φ = 28344960.

The previous prime is 42580201. The next prime is 42580259. The reversal of 42580233 is 33208524.

42580233 is a `hidden beast` number, since 425 + 8 + 0 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11309769 + 31270464 = 3363^2 + 5592^2 .

It is not a de Polignac number, because 42580233 - 25 = 42580201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42580197 and 42580206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42580283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3741 + ... + 9957.

It is an arithmetic number, because the mean of its divisors is an integer number (5132959).

Almost surely, 242580233 is an apocalyptic number.

It is an amenable number.

42580233 is a deficient number, since it is larger than the sum of its proper divisors (19015275).

42580233 is a wasteful number, since it uses less digits than its factorization.

42580233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42580233 is about 6525.3530938946. The cubic root of 42580233 is about 349.1960677474.

Adding to 42580233 its reverse (33208524), we get a palindrome (75788757).

The spelling of 42580233 in words is "forty-two million, five hundred eighty thousand, two hundred thirty-three".

Divisors: 1 3 9 761 2283 6217 6849 18651 55953 4731137 14193411 42580233