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429910841 = 17103324481
BaseRepresentation
bin11001100111111…
…110101100111001
31002221221201210202
4121213332230321
51340024121331
6110354251545
713440116243
oct3147765471
91087851722
10429910841
11200745418
12bbb86bb5
136b0b4b19
144114d093
1527b20ecb
hex199feb39

429910841 has 8 divisors (see below), whose sum is σ = 455658984. Its totient is φ = 404213760.

The previous prime is 429910837. The next prime is 429910847. The reversal of 429910841 is 148019924.

It can be written as a sum of positive squares in 4 ways, for example, as 97614400 + 332296441 = 9880^2 + 18229^2 .

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

It is not a de Polignac number, because 429910841 - 22 = 429910837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429910795 and 429910804.

It is not an unprimeable number, because it can be changed into a prime (429910847) 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 in 7 ways as a sum of consecutive naturals, for example, 5321 + ... + 29801.

It is an arithmetic number, because the mean of its divisors is an integer number (56957373).

Almost surely, 2429910841 is an apocalyptic number.

It is an amenable number.

429910841 is a deficient number, since it is larger than the sum of its proper divisors (25748143).

429910841 is a wasteful number, since it uses less digits than its factorization.

429910841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25531.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 429910841 is about 20734.2914274879. The cubic root of 429910841 is about 754.7320605303.

The spelling of 429910841 in words is "four hundred twenty-nine million, nine hundred ten thousand, eight hundred forty-one".

Divisors: 1 17 1033 17561 24481 416177 25288873 429910841