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829150493 is a prime number
BaseRepresentation
bin110001011010111…
…101010100011101
32010210012012122112
4301122331110131
53144230303433
6214135323405
726355443243
oct6132752435
92123165575
10829150493
11396041046
121b1820565
13102a1b2c2
147c196793
154cbd4348
hex316bd51d

829150493 has 2 divisors, whose sum is σ = 829150494. Its totient is φ = 829150492.

The previous prime is 829150477. The next prime is 829150523. The reversal of 829150493 is 394051928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 695007769 + 134142724 = 26363^2 + 11582^2 .

It is a cyclic number.

It is not a de Polignac number, because 829150493 - 24 = 829150477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829150493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829150793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414575246 + 414575247.

It is an arithmetic number, because the mean of its divisors is an integer number (414575247).

Almost surely, 2829150493 is an apocalyptic number.

It is an amenable number.

829150493 is a deficient number, since it is larger than the sum of its proper divisors (1).

829150493 is an equidigital number, since it uses as much as digits as its factorization.

829150493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 829150493 is about 28794.9733981471. The cubic root of 829150493 is about 939.4589058060.

The spelling of 829150493 in words is "eight hundred twenty-nine million, one hundred fifty thousand, four hundred ninety-three".