Search a number
-
+
426517641 = 321117253427
BaseRepresentation
bin11001011011000…
…010010010001001
31002201120100012200
4121123002102021
51333142031031
6110153430413
713366224444
oct3133022211
91081510180
10426517641
111a9838020
12baa0b409
136a497504
144090865b
15276a08e6
hex196c2489

426517641 has 24 divisors (see below), whose sum is σ = 711625824. Its totient is φ = 243288960.

The previous prime is 426517613. The next prime is 426517669. The reversal of 426517641 is 146715624.

426517641 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 1 + 7 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (426517613) and next prime (426517669).

It is not a de Polignac number, because 426517641 - 26 = 426517577 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 426517596 and 426517605.

It is not an unprimeable number, because it can be changed into a prime (426517691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125031 + ... + 128396.

It is an arithmetic number, because the mean of its divisors is an integer number (29651076).

Almost surely, 2426517641 is an apocalyptic number.

It is an amenable number.

426517641 is a deficient number, since it is larger than the sum of its proper divisors (285108183).

426517641 is a wasteful number, since it uses less digits than its factorization.

426517641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253461 (or 253458 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 426517641 is about 20652.3035276940. The cubic root of 426517641 is about 752.7411638222.

The spelling of 426517641 in words is "four hundred twenty-six million, five hundred seventeen thousand, six hundred forty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 253427 760281 2280843 2787697 4308259 8363091 12924777 25089273 38774331 47390849 142172547 426517641