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820307493 = 353375751
BaseRepresentation
bin110000111001001…
…110011000100101
32010011112221100000
4300321032120211
53134444314433
6213222011513
726220333015
oct6071163045
92104487300
10820307493
11391051185
121aa876b99
13100c43265
147ad33c45
154c039113
hex30e4e625

820307493 has 12 divisors (see below), whose sum is σ = 1228773728. Its totient is φ = 546871500.

The previous prime is 820307491. The next prime is 820307531. The reversal of 820307493 is 394703028.

It is not a de Polignac number, because 820307493 - 21 = 820307491 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820307491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1687633 + ... + 1688118.

Almost surely, 2820307493 is an apocalyptic number.

It is an amenable number.

820307493 is a deficient number, since it is larger than the sum of its proper divisors (408466235).

820307493 is an equidigital number, since it uses as much as digits as its factorization.

820307493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375766 (or 3375754 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 820307493 is about 28641.0106839825. The cubic root of 820307493 is about 936.1071437999.

The spelling of 820307493 in words is "eight hundred twenty million, three hundred seven thousand, four hundred ninety-three".

Divisors: 1 3 9 27 81 243 3375751 10127253 30381759 91145277 273435831 820307493