Search a number
-
+
426058641 = 321719146563
BaseRepresentation
bin11001011001010…
…010001110010001
31002200201000120200
4121121102032101
51333032334031
6110135525413
713362303321
oct3131221621
91080630520
10426058641
111a9554188
12ba829869
136a366608
1440829281
152760e8e6
hex19652391

426058641 has 24 divisors (see below), whose sum is σ = 685919520. Its totient is φ = 253259136.

The previous prime is 426058631. The next prime is 426058643. The reversal of 426058641 is 146850624.

426058641 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 5 + 8 + 641 = 666.

It is not a de Polignac number, because 426058641 - 210 = 426057617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 426058596 and 426058605.

It is not an unprimeable number, because it can be changed into a prime (426058643) 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 23 ways as a sum of consecutive naturals, for example, 70375 + ... + 76188.

It is an arithmetic number, because the mean of its divisors is an integer number (28579980).

Almost surely, 2426058641 is an apocalyptic number.

It is an amenable number.

426058641 is a deficient number, since it is larger than the sum of its proper divisors (259860879).

426058641 is a wasteful number, since it uses less digits than its factorization.

426058641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146605 (or 146602 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 426058641 is about 20641.1879745329. The cubic root of 426058641 is about 752.4710443121.

The spelling of 426058641 in words is "four hundred twenty-six million, fifty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 146563 439689 1319067 2491571 2784697 7474713 8354091 22424139 25062273 47339849 142019547 426058641