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541838317 is a prime number
BaseRepresentation
bin100000010010111…
…100101111101101
31101202120020102211
4200102330233231
52102202311232
6125433250421
716266356356
oct4022745755
91352506384
10541838317
11258943169
12131563a11
13883435b7
1451d66d2d
153287ea47
hex204bcbed

541838317 has 2 divisors, whose sum is σ = 541838318. Its totient is φ = 541838316.

The previous prime is 541838303. The next prime is 541838377. The reversal of 541838317 is 713838145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 537590596 + 4247721 = 23186^2 + 2061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-541838317 is a prime.

It is equal to p28439716 and since 541838317 and 28439716 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541838317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541838377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270919158 + 270919159.

It is an arithmetic number, because the mean of its divisors is an integer number (270919159).

Almost surely, 2541838317 is an apocalyptic number.

It is an amenable number.

541838317 is a deficient number, since it is larger than the sum of its proper divisors (1).

541838317 is an equidigital number, since it uses as much as digits as its factorization.

541838317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 80640, while the sum is 40.

The square root of 541838317 is about 23277.4207548861. The cubic root of 541838317 is about 815.2483050358.

It can be divided in two parts, 54183 and 8317, that added together give a square (62500 = 2502).

The spelling of 541838317 in words is "five hundred forty-one million, eight hundred thirty-eight thousand, three hundred seventeen".