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824070493 is a prime number
BaseRepresentation
bin110001000111100…
…101000101011101
32010102122010012101
4301013211011131
53141430223433
6213434405101
726264324611
oct6107450535
92112563171
10824070493
113931913a4
121abb90791
1310195cc9c
147b633341
154c52e07d
hex311e515d

824070493 has 2 divisors, whose sum is σ = 824070494. Its totient is φ = 824070492.

The previous prime is 824070431. The next prime is 824070539. The reversal of 824070493 is 394070428.

It is a happy number.

824070493 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., 817216569 + 6853924 = 28587^2 + 2618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-824070493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (824070593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412035246 + 412035247.

It is an arithmetic number, because the mean of its divisors is an integer number (412035247).

Almost surely, 2824070493 is an apocalyptic number.

It is an amenable number.

824070493 is a deficient number, since it is larger than the sum of its proper divisors (1).

824070493 is an equidigital number, since it uses as much as digits as its factorization.

824070493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 824070493 is about 28706.6280325642. The cubic root of 824070493 is about 937.5363633421.

The spelling of 824070493 in words is "eight hundred twenty-four million, seventy thousand, four hundred ninety-three".