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493934670 = 232529971951
BaseRepresentation
bin11101011100001…
…101100001001110
31021102102110222200
4131130031201032
52002421402140
6121002422330
715145242525
oct3534154116
91242373880
10493934670
112338a4479
121195019a6
137b440448
14498574bc
152d56b030
hex1d70d84e

493934670 has 96 divisors (see below), whose sum is σ = 1342897920. Its totient is φ = 125798400.

The previous prime is 493934669. The next prime is 493934713. The reversal of 493934670 is 76439394.

493934670 is a `hidden beast` number, since 493 + 93 + 4 + 6 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252195 + ... + 254145.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2493934670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493934670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671448960).

493934670 is an abundant number, since it is smaller than the sum of its proper divisors (848963250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493934670 is a wasteful number, since it uses less digits than its factorization.

493934670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 493934670 is about 22224.6410544692. The cubic root of 493934670 is about 790.4780901455.

The spelling of 493934670 in words is "four hundred ninety-three million, nine hundred thirty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 97 145 174 194 261 290 291 435 485 522 582 870 873 970 1305 1455 1746 1951 2610 2813 2910 3902 4365 5626 5853 8439 8730 9755 11706 14065 16878 17559 19510 25317 28130 29265 35118 42195 50634 56579 58530 84390 87795 113158 126585 169737 175590 189247 253170 282895 339474 378494 509211 565790 567741 848685 946235 1018422 1135482 1697370 1703223 1892470 2546055 2838705 3406446 5092110 5488163 5677410 8516115 10976326 16464489 17032230 27440815 32928978 49393467 54881630 82322445 98786934 164644890 246967335 493934670