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426094641 = 3372322067
BaseRepresentation
bin11001011001011…
…011000000110001
31002200202211222000
4121121123000301
51333040012031
6110140404213
713362513300
oct3131330061
91080684860
10426094641
111a9579235
12ba846669
136a379b0b
1440838437
152761a3e6
hex1965b031

426094641 has 24 divisors (see below), whose sum is σ = 734315040. Its totient is φ = 243481896.

The previous prime is 426094601. The next prime is 426094657. The reversal of 426094641 is 146490624.

426094641 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 9 + 4 + 641 = 666.

It is not a de Polignac number, because 426094641 - 210 = 426093617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 426094596 and 426094605.

It is not an unprimeable number, because it can be changed into a prime (426094601) 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, 159711 + ... + 162356.

It is an arithmetic number, because the mean of its divisors is an integer number (30596460).

Almost surely, 2426094641 is an apocalyptic number.

It is an amenable number.

426094641 is a deficient number, since it is larger than the sum of its proper divisors (308220399).

426094641 is a wasteful number, since it uses less digits than its factorization.

426094641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322090 (or 322077 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 426094641 is about 20642.0599989439. The cubic root of 426094641 is about 752.4922371653.

The spelling of 426094641 in words is "four hundred twenty-six million, ninety-four thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 322067 966201 2254469 2898603 6763407 8695809 15781283 20290221 47343849 60870663 142031547 426094641