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433427441 = 4114970949
BaseRepresentation
bin11001110101011…
…001001111110001
31010012120101200012
4121311121033301
51341424134231
6111001504305
713512033566
oct3165311761
91105511605
10433427441
112027274a7
121011a2095
136ba46655
14417c686d
15280b7e2b
hex19d593f1

433427441 has 8 divisors (see below), whose sum is σ = 446985000. Its totient is φ = 420012160.

The previous prime is 433427429. The next prime is 433427471. The reversal of 433427441 is 144724334.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 433264225 = 404^2 + 20815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-433427441 is a prime.

It is a super-2 number, since 2×4334274412 = 375718693223616962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 433427398 and 433427407.

It is not an unprimeable number, because it can be changed into a prime (433427471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29366 + ... + 41583.

It is an arithmetic number, because the mean of its divisors is an integer number (55873125).

Almost surely, 2433427441 is an apocalyptic number.

433427441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

433427441 is a deficient number, since it is larger than the sum of its proper divisors (13557559).

433427441 is a wasteful number, since it uses less digits than its factorization.

433427441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71139.

The product of its digits is 32256, while the sum is 32.

The square root of 433427441 is about 20818.9202649897. The cubic root of 433427441 is about 756.7843362923.

The spelling of 433427441 in words is "four hundred thirty-three million, four hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 41 149 6109 70949 2908909 10571401 433427441