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493163640 = 23355113449
BaseRepresentation
bin11101011001010…
…001010001111000
31021100222022100000
4131121101101320
52002222214030
6120534113000
715135551604
oct3531212170
91240868300
10493163640
11233418162
121191ab760
137b230508
14496d6504
152d467860
hex1d651478

493163640 has 192 divisors, whose sum is σ = 1680588000. Its totient is φ = 130056192.

The previous prime is 493163623. The next prime is 493163651. The reversal of 493163640 is 46361394.

493163640 is a `hidden beast` number, since 4 + 9 + 3 + 1 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493163595 and 493163604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098136 + ... + 1098584.

Almost surely, 2493163640 is an apocalyptic number.

493163640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493163640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840294000).

493163640 is an abundant number, since it is smaller than the sum of its proper divisors (1187424360).

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

493163640 is a wasteful number, since it uses less digits than its factorization.

493163640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 493163640 is about 22207.2879929090. The cubic root of 493163640 is about 790.0665649194.

The spelling of 493163640 in words is "four hundred ninety-three million, one hundred sixty-three thousand, six hundred forty".