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413238541 is a prime number
BaseRepresentation
bin11000101000011…
…000010100001101
31001210120200201011
4120220120110031
51321242113131
6105001045221
713145320042
oct3050302415
91053520634
10413238541
111a2298261
12b6486811
13677c8261
143cc4d1c9
152642b0b1
hex18a1850d

413238541 has 2 divisors, whose sum is σ = 413238542. Its totient is φ = 413238540.

The previous prime is 413238517. The next prime is 413238547. The reversal of 413238541 is 145832314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382202500 + 31036041 = 19550^2 + 5571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413238541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413238547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206619270 + 206619271.

It is an arithmetic number, because the mean of its divisors is an integer number (206619271).

Almost surely, 2413238541 is an apocalyptic number.

It is an amenable number.

413238541 is a deficient number, since it is larger than the sum of its proper divisors (1).

413238541 is an equidigital number, since it uses as much as digits as its factorization.

413238541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 31.

The square root of 413238541 is about 20328.2695033296. The cubic root of 413238541 is about 744.8467717840.

The spelling of 413238541 in words is "four hundred thirteen million, two hundred thirty-eight thousand, five hundred forty-one".