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493939368 = 2332132931587
BaseRepresentation
bin11101011100001…
…110101010101000
31021102102201102200
4131130032222220
52002422024433
6121002500200
715145262316
oct3534165250
91242381380
10493939368
112338a7a5a
12119504660
137b442620
14498590b6
152d56c613
hex1d70eaa8

493939368 has 192 divisors, whose sum is σ = 1541030400. Its totient is φ = 141765120.

The previous prime is 493939367. The next prime is 493939429. The reversal of 493939368 is 863939394.

It is a happy number.

493939368 is a `hidden beast` number, since 493 + 9 + 3 + 93 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (493939367) 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, 841171 + ... + 841757.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2493939368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493939368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

493939368 is an abundant number, since it is smaller than the sum of its proper divisors (1047091032).

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

493939368 is a wasteful number, since it uses less digits than its factorization.

493939368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 493939368 is about 22224.7467477135. The cubic root of 493939368 is about 790.4805963165.

The spelling of 493939368 in words is "four hundred ninety-three million, nine hundred thirty-nine thousand, three hundred sixty-eight".