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493875630 = 2365371831
BaseRepresentation
bin11101011011111…
…111000110101110
31021102022111000000
4131123333012232
52002413010010
6121001245130
715144605433
oct3533770656
91242274000
10493875630
11233864086
121194937a6
137b41c601
144983db8a
152d5587c0
hex1d6ff1ae

493875630 has 112 divisors (see below), whose sum is σ = 1369625184. Its totient is φ = 128070720.

The previous prime is 493875617. The next prime is 493875631. The reversal of 493875630 is 36578394.

493875630 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 7 + 5 + 630 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493875631) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 268815 + ... + 270645.

Almost surely, 2493875630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493875630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684812592).

493875630 is an abundant number, since it is smaller than the sum of its proper divisors (875749554).

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

493875630 is a wasteful number, since it uses less digits than its factorization.

493875630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 493875630 is about 22223.3127593525. The cubic root of 493875630 is about 790.4465936144.

The spelling of 493875630 in words is "four hundred ninety-three million, eight hundred seventy-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 729 810 999 1110 1215 1458 1665 1831 1998 2430 2997 3330 3645 3662 4995 5493 5994 7290 8991 9155 9990 10986 14985 16479 17982 18310 26973 27465 29970 32958 44955 49437 53946 54930 67747 82395 89910 98874 134865 135494 148311 164790 203241 247185 269730 296622 338735 406482 444933 494370 609723 677470 741555 889866 1016205 1219446 1334799 1483110 1829169 2032410 2224665 2669598 3048615 3658338 4449330 5487507 6097230 6673995 9145845 10975014 13347990 16462521 18291690 27437535 32925042 49387563 54875070 82312605 98775126 164625210 246937815 493875630