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682145793 = 347311972
BaseRepresentation
bin101000101010001…
…011100000000001
31202112120121010000
4220222023200001
52344112131133
6151404430213
722622100150
oct5052134001
91675517100
10682145793
1132006525a
12170548369
13ab42a884
146684b597
153ed47413
hex28a8b801

682145793 has 60 divisors (see below), whose sum is σ = 1208280832. Its totient is φ = 375308640.

The previous prime is 682145773. The next prime is 682145797. The reversal of 682145793 is 397541286.

682145793 is a `hidden beast` number, since 68 + 2 + 14 + 579 + 3 = 666.

It is not a de Polignac number, because 682145793 - 26 = 682145729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (682145797) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3462571 + ... + 3462767.

Almost surely, 2682145793 is an apocalyptic number.

682145793 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

682145793 is a deficient number, since it is larger than the sum of its proper divisors (526135039).

682145793 is an equidigital number, since it uses as much as digits as its factorization.

682145793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 238 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 682145793 is about 26117.9209164895. The cubic root of 682145793 is about 880.2899324445.

The spelling of 682145793 in words is "six hundred eighty-two million, one hundred forty-five thousand, seven hundred ninety-three".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 197 217 279 567 591 651 837 1379 1773 1953 2511 4137 5319 5859 6107 12411 15957 17577 18321 37233 38809 42749 54963 111699 116427 128247 164889 271663 349281 384741 494667 814989 1047843 1154223 1203079 2444967 3143529 3462669 3609237 7334901 8421553 10827711 22004703 25264659 32483133 75793977 97449399 227381931 682145793