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493937960 = 23536733647
BaseRepresentation
bin11101011100001…
…110010100101000
31021102102122111112
4131130032110220
52002422003320
6121002445452
715145255235
oct3534162450
91242378445
10493937960
112338a699a
12119503888
137b441aa9
144985878c
152d56bec5
hex1d70e528

493937960 has 32 divisors (see below), whose sum is σ = 1114421760. Its totient is φ = 197030976.

The previous prime is 493937953. The next prime is 493937971. The reversal of 493937960 is 69739394.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 493937899 and 493937908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144 + ... + 31503.

It is an arithmetic number, because the mean of its divisors is an integer number (34825680).

Almost surely, 2493937960 is an apocalyptic number.

493937960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493937960 is an abundant number, since it is smaller than the sum of its proper divisors (620483800).

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

493937960 is a wasteful number, since it uses less digits than its factorization.

493937960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34025 (or 34021 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 50.

The square root of 493937960 is about 22224.7150712894. The cubic root of 493937960 is about 790.4798452137.

The spelling of 493937960 in words is "four hundred ninety-three million, nine hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 367 734 1468 1835 2936 3670 7340 14680 33647 67294 134588 168235 269176 336470 672940 1345880 12348449 24696898 49393796 61742245 98787592 123484490 246968980 493937960