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431728541 is a prime number
BaseRepresentation
bin11001101110111…
…010011110011101
31010002101002012222
4121232322132131
51341010303131
6110501235125
713461426536
oct3156723635
91102332188
10431728541
11201777052
12100702aa5
136b5a029a
14414a368d
1527d7e87b
hex19bba79d

431728541 has 2 divisors, whose sum is σ = 431728542. Its totient is φ = 431728540.

The previous prime is 431728529. The next prime is 431728553. The reversal of 431728541 is 145827134.

It is a balanced prime because it is at equal distance from previous prime (431728529) and next prime (431728553).

It can be written as a sum of positive squares in only one way, i.e., 373648900 + 58079641 = 19330^2 + 7621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431728541 is a prime.

It is a super-2 number, since 2×4317285412 = 372779066227977362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431728571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215864270 + 215864271.

It is an arithmetic number, because the mean of its divisors is an integer number (215864271).

Almost surely, 2431728541 is an apocalyptic number.

It is an amenable number.

431728541 is a deficient number, since it is larger than the sum of its proper divisors (1).

431728541 is an equidigital number, since it uses as much as digits as its factorization.

431728541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The square root of 431728541 is about 20778.0783760193. The cubic root of 431728541 is about 755.7942555981.

The spelling of 431728541 in words is "four hundred thirty-one million, seven hundred twenty-eight thousand, five hundred forty-one".