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493994160 = 2433511171223
BaseRepresentation
bin11101011100011…
…100000010110000
31021102112111121000
4131130130002300
52002430303120
6121004002000
715145611132
oct3534340260
91242474530
10493994160
11233935140
12119530300
137b46154a
1449871052
152d57d990
hex1d71c0b0

493994160 has 320 divisors, whose sum is σ = 1967016960. Its totient is φ = 112619520.

The previous prime is 493994159. The next prime is 493994209. The reversal of 493994160 is 61499394.

It is a super-2 number, since 2×4939941602 = 488060460228211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 403309 + ... + 404531.

It is an arithmetic number, because the mean of its divisors is an integer number (6146928).

Almost surely, 2493994160 is an apocalyptic number.

493994160 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 493994160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983508480).

493994160 is an abundant number, since it is smaller than the sum of its proper divisors (1473022800).

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

493994160 is a wasteful number, since it uses less digits than its factorization.

493994160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 493994160 is about 22225.9793934936. The cubic root of 493994160 is about 790.5098242031.

It can be divided in two parts, 4939 and 94160, that added together give a palindrome (99099).

The spelling of 493994160 in words is "four hundred ninety-three million, nine hundred ninety-four thousand, one hundred sixty".