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4415441 is a prime number
BaseRepresentation
bin10000110101111111010001
322022022211212
4100311333101
52112243231
6234345505
752350002
oct20657721
98268755
104415441
112546428
12158b295
13bb79b4
1482d1a9
155c342b
hex435fd1

4415441 has 2 divisors, whose sum is σ = 4415442. Its totient is φ = 4415440.

The previous prime is 4415431. The next prime is 4415443. The reversal of 4415441 is 1445144.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4060225 + 355216 = 2015^2 + 596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4415441 is a prime.

It is a super-3 number, since 3×44154413 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 4415443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4415443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2207720 + 2207721.

It is an arithmetic number, because the mean of its divisors is an integer number (2207721).

Almost surely, 24415441 is an apocalyptic number.

It is an amenable number.

4415441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4415441 is an equidigital number, since it uses as much as digits as its factorization.

4415441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1280, while the sum is 23.

The square root of 4415441 is about 2101.2950768514. The cubic root of 4415441 is about 164.0557142651.

The spelling of 4415441 in words is "four million, four hundred fifteen thousand, four hundred forty-one".