Base | Representation |
---|---|
bin | 11101011011100… |
… | …000010101100000 |
3 | 1021102002002010020 |
4 | 131123200111200 |
5 | 2002344441400 |
6 | 120554433440 |
7 | 15143542131 |
oct | 3533402540 |
9 | 1242062106 |
10 | 493749600 |
11 | 233788423 |
12 | 119432880 |
13 | 7b3a7136 |
14 | 49809c88 |
15 | 2d5312a0 |
hex | 1d6e0560 |
493749600 has 144 divisors (see below), whose sum is σ = 1614271680. Its totient is φ = 131084800.
The previous prime is 493749587. The next prime is 493749623. The reversal of 493749600 is 6947394.
493749600 is a nontrivial binomial coefficient, being equal to C(31425, 2).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 1005355 + ... + 1005845.
It is an arithmetic number, because the mean of its divisors is an integer number (11210220).
Almost surely, 2493749600 is an apocalyptic number.
493749600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
493749600 is the 31424-th triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 493749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807135840).
493749600 is an abundant number, since it is smaller than the sum of its proper divisors (1120522080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
493749600 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (493749599) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (920).
493749600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 933 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 42.
The square root of 493749600 is about 22220.4770425839. The cubic root of 493749600 is about 790.3793510043.
The spelling of 493749600 in words is "four hundred ninety-three million, seven hundred forty-nine thousand, six hundred".
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