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493913056 = 257131979113
BaseRepresentation
bin11101011100001…
…000001111100000
31021102101101100011
4131130020033200
52002420204211
6121002134304
715145122520
oct3534101740
91242341304
10493913056
1123388a20a
121194b1394
137b433660
144984d680
152d564921
hex1d7083e0

493913056 has 192 divisors, whose sum is σ = 1287014400. Its totient is φ = 181149696.

The previous prime is 493913041. The next prime is 493913059. The reversal of 493913056 is 650319394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493913059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4370856 + ... + 4370968.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2493913056 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 493913056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643507200).

493913056 is an abundant number, since it is smaller than the sum of its proper divisors (793101344).

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

493913056 is a wasteful number, since it uses less digits than its factorization.

493913056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 493913056 is about 22224.1547870780. The cubic root of 493913056 is about 790.4665598469.

The spelling of 493913056 in words is "four hundred ninety-three million, nine hundred thirteen thousand, fifty-six".