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10047329 is a prime number
BaseRepresentation
bin100110010100…
…111101100001
3200220110100022
4212110331201
510033003304
6555203225
7151254335
oct46247541
920813308
1010047329
115742786
123446515
13210a286
1414977c5
15d36ebe
hex994f61

10047329 has 2 divisors, whose sum is σ = 10047330. Its totient is φ = 10047328.

The previous prime is 10047319. The next prime is 10047347. The reversal of 10047329 is 92374001.

10047329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9935104 + 112225 = 3152^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 10047329 - 28 = 10047073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10047298 and 10047307.

It is not a weakly prime, because it can be changed into another prime (10047319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5023664 + 5023665.

It is an arithmetic number, because the mean of its divisors is an integer number (5023665).

Almost surely, 210047329 is an apocalyptic number.

It is an amenable number.

10047329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10047329 is an equidigital number, since it uses as much as digits as its factorization.

10047329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10047329 is about 3169.7521985165. The cubic root of 10047329 is about 215.7828249838.

The spelling of 10047329 in words is "ten million, forty-seven thousand, three hundred twenty-nine".