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493919010 = 2325132914557
BaseRepresentation
bin11101011100001…
…001101100100010
31021102101200111200
4131130021230202
52002420402020
6121002222030
715145146054
oct3534115442
91242350450
10493919010
11233893732
121194b4916
137b436290
14498518d4
152d566590
hex1d709b22

493919010 has 96 divisors (see below), whose sum is σ = 1430760240. Its totient is φ = 117379584.

The previous prime is 493918993. The next prime is 493919011. The reversal of 493919010 is 10919394.

It can be written as a sum of positive squares in 8 ways, for example, as 56565441 + 437353569 = 7521^2 + 20913^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (493919011) 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, 26652 + ... + 41208.

Almost surely, 2493919010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493919010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715380120).

493919010 is an abundant number, since it is smaller than the sum of its proper divisors (936841230).

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

493919010 is a wasteful number, since it uses less digits than its factorization.

493919010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 493919010 is about 22224.2887400250. The cubic root of 493919010 is about 790.4697361272.

The spelling of 493919010 in words is "four hundred ninety-three million, nine hundred nineteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 3393 3770 5655 6786 11310 14557 16965 29114 33930 43671 72785 87342 131013 145570 189241 218355 262026 378482 422153 436710 567723 655065 844306 946205 1135446 1266459 1310130 1703169 1892410 2110765 2532918 2838615 3406338 3799377 4221530 5487989 5677230 6332295 7598754 8515845 10975978 12664590 16463967 17031690 18996885 27439945 32927934 37993770 49391901 54879890 82319835 98783802 164639670 246959505 493919010