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427588541 is a prime number
BaseRepresentation
bin11001011111000…
…111101110111101
31002210120202012122
4121133013232331
51333430313131
6110232412325
713411304552
oct3137075675
91083522178
10427588541
111aa3a9666
12bb2470a5
136a780a93
1440b06a29
1527812d7b
hex197c7bbd

427588541 has 2 divisors, whose sum is σ = 427588542. Its totient is φ = 427588540.

The previous prime is 427588529. The next prime is 427588543. The reversal of 427588541 is 145885724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 422508025 + 5080516 = 20555^2 + 2254^2 .

It is a cyclic number.

It is not a de Polignac number, because 427588541 - 214 = 427572157 is a prime.

It is a Sophie Germain prime.

Together with 427588543, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 427588492 and 427588501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427588543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213794270 + 213794271.

It is an arithmetic number, because the mean of its divisors is an integer number (213794271).

Almost surely, 2427588541 is an apocalyptic number.

It is an amenable number.

427588541 is a deficient number, since it is larger than the sum of its proper divisors (1).

427588541 is an equidigital number, since it uses as much as digits as its factorization.

427588541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 358400, while the sum is 44.

The square root of 427588541 is about 20678.2141637038. The cubic root of 427588541 is about 753.3706311752.

The spelling of 427588541 in words is "four hundred twenty-seven million, five hundred eighty-eight thousand, five hundred forty-one".