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838460493 = 321326772
BaseRepresentation
bin110001111110011…
…110010001001101
32011102201012120100
4301332132101031
53204121213433
6215111041313
726530540143
oct6176362115
92142635510
10838460493
113a031a862
121b4970239
1310492aa90
147d4db593
154d922b13
hex31f9e44d

838460493 has 18 divisors (see below), whose sum is σ = 1304759274. Its totient is φ = 515782944.

The previous prime is 838460473. The next prime is 838460543. The reversal of 838460493 is 394064838.

838460493 is a `hidden beast` number, since 8 + 38 + 4 + 604 + 9 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 159441129 + 679019364 = 12627^2 + 26058^2 .

It is not a de Polignac number, because 838460493 - 25 = 838460461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838460473) 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 in 17 ways as a sum of consecutive naturals, for example, 311871 + ... + 314547.

Almost surely, 2838460493 is an apocalyptic number.

It is an amenable number.

838460493 is a deficient number, since it is larger than the sum of its proper divisors (466298781).

838460493 is an equidigital number, since it uses as much as digits as its factorization.

838460493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 838460493 is about 28956.1822932513. The cubic root of 838460493 is about 942.9620211060.

The spelling of 838460493 in words is "eight hundred thirty-eight million, four hundred sixty thousand, four hundred ninety-three".

Divisors: 1 3 9 13 39 117 2677 8031 24093 34801 104403 313209 7166329 21498987 64496961 93162277 279486831 838460493