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493879104 = 263217311627
BaseRepresentation
bin11101011011111…
…111111101000000
31021102022122202200
4131123333331000
52002413112404
6121001313200
715144621525
oct3533777500
91242278680
10493879104
11233866754
12119495800
137b421074
144984114c
152d559839
hex1d6fff40

493879104 has 168 divisors, whose sum is σ = 1548188928. Its totient is φ = 149852160.

The previous prime is 493879097. The next prime is 493879117. The reversal of 493879104 is 401978394.

It is a self number, because there is not a number n which added to its sum of digits gives 493879104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302739 + ... + 304365.

Almost surely, 2493879104 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 493879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774094464).

493879104 is an abundant number, since it is smaller than the sum of its proper divisors (1054309824).

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

493879104 is a wasteful number, since it uses less digits than its factorization.

493879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 493879104 is about 22223.3909203794. The cubic root of 493879104 is about 790.4484469859.

The spelling of 493879104 in words is "four hundred ninety-three million, eight hundred seventy-nine thousand, one hundred four".