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493140219 = 311213313371
BaseRepresentation
bin11101011001001…
…011100011111011
31021100221010012120
4131121023203323
52002220441334
6120533412323
715135423405
oct3531134373
91240833176
10493140219
11233401600
1211919a0a3
137b222960
14496cbb75
152d460949
hex1d64b8fb

493140219 has 48 divisors (see below), whose sum is σ = 803668992. Its totient is φ = 266904000.

The previous prime is 493140203. The next prime is 493140223. The reversal of 493140219 is 912041394.

It is not a de Polignac number, because 493140219 - 24 = 493140203 is a prime.

It is a super-2 number, since 2×4931402192 = 486374551190735922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 493140219.

It is not an unprimeable number, because it can be changed into a prime (493140229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144604 + ... + 147974.

It is an arithmetic number, because the mean of its divisors is an integer number (16743104).

Almost surely, 2493140219 is an apocalyptic number.

493140219 is a deficient number, since it is larger than the sum of its proper divisors (310528773).

493140219 is a wasteful number, since it uses less digits than its factorization.

493140219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 493140219 is about 22206.7606597631. The cubic root of 493140219 is about 790.0540576159.

It can be divided in two parts, 4931 and 40219, that added together give a triangular number (45150 = T300).

The spelling of 493140219 in words is "four hundred ninety-three million, one hundred forty thousand, two hundred nineteen".

Divisors: 1 3 11 13 31 33 39 93 121 143 341 363 403 429 1023 1209 1573 3371 3751 4433 4719 10113 11253 13299 37081 43823 48763 104501 111243 131469 146289 313503 407891 482053 1149511 1223673 1358513 1446159 3448533 4075539 5302583 12644621 14943643 15907749 37933863 44830929 164380073 493140219