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438082129 = 17113228049
BaseRepresentation
bin11010000111001…
…001101001010001
31010112022212201001
4122013021221101
51344122112004
6111245342001
713566431242
oct3207115121
91115285631
10438082129
11205316651
12102867901
136c9b61c4
1442278cc9
15286d71a4
hex1a1c9a51

438082129 has 8 divisors (see below), whose sum is σ = 467958600. Its totient is φ = 408662016.

The previous prime is 438082087. The next prime is 438082133. The reversal of 438082129 is 921280834.

It can be written as a sum of positive squares in 4 ways, for example, as 68558400 + 369523729 = 8280^2 + 19223^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 438082129 - 29 = 438081617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438082189) 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 in 7 ways as a sum of consecutive naturals, for example, 112104 + ... + 115945.

It is an arithmetic number, because the mean of its divisors is an integer number (58494825).

Almost surely, 2438082129 is an apocalyptic number.

It is an amenable number.

438082129 is a deficient number, since it is larger than the sum of its proper divisors (29876471).

438082129 is a wasteful number, since it uses less digits than its factorization.

438082129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228179.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 438082129 is about 20930.4115821930. The cubic root of 438082129 is about 759.4837959335.

The spelling of 438082129 in words is "four hundred thirty-eight million, eighty-two thousand, one hundred twenty-nine".

Divisors: 1 17 113 1921 228049 3876833 25769537 438082129