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42736129 is a prime number
BaseRepresentation
bin1010001100000…
…1101000000001
32222102012221121
42203001220001
541420024004
64123552241
71026152062
oct243015001
988365847
1042736129
112213a317
121238b681
138b14067
145966569
153b42854
hex28c1a01

42736129 has 2 divisors, whose sum is σ = 42736130. Its totient is φ = 42736128.

The previous prime is 42736123. The next prime is 42736157. The reversal of 42736129 is 92163724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39350529 + 3385600 = 6273^2 + 1840^2 .

It is a cyclic number.

It is not a de Polignac number, because 42736129 - 215 = 42703361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42736094 and 42736103.

It is not a weakly prime, because it can be changed into another prime (42736123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21368064 + 21368065.

It is an arithmetic number, because the mean of its divisors is an integer number (21368065).

Almost surely, 242736129 is an apocalyptic number.

It is an amenable number.

42736129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42736129 is an equidigital number, since it uses as much as digits as its factorization.

42736129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 34.

The square root of 42736129 is about 6537.2875873714. The cubic root of 42736129 is about 349.6217110107.

The spelling of 42736129 in words is "forty-two million, seven hundred thirty-six thousand, one hundred twenty-nine".