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146824829 is a prime number
BaseRepresentation
bin10001100000001…
…01111001111101
3101020021110210122
420300011321331
5300041343304
622322544325
73431663504
oct1060057175
9336243718
10146824829
1175973738
12412080a5
13245598c8
14156dd83b
15cd539be
hex8c05e7d

146824829 has 2 divisors, whose sum is σ = 146824830. Its totient is φ = 146824828.

The previous prime is 146824807. The next prime is 146824831. The reversal of 146824829 is 928428641.

146824829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123765625 + 23059204 = 11125^2 + 4802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146824829 is a prime.

It is a Sophie Germain prime.

Together with 146824831, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146824829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146824849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73412414 + 73412415.

It is an arithmetic number, because the mean of its divisors is an integer number (73412415).

Almost surely, 2146824829 is an apocalyptic number.

It is an amenable number.

146824829 is a deficient number, since it is larger than the sum of its proper divisors (1).

146824829 is an equidigital number, since it uses as much as digits as its factorization.

146824829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 221184, while the sum is 44.

The square root of 146824829 is about 12117.1295693328. The cubic root of 146824829 is about 527.5534909780.

The spelling of 146824829 in words is "one hundred forty-six million, eight hundred twenty-four thousand, eight hundred twenty-nine".