Base | Representation |
---|---|
bin | 11101100100010… |
… | …000000000000000 |
3 | 1021120101112200100 |
4 | 131210100000000 |
5 | 2003441320414 |
6 | 121115522400 |
7 | 15202200354 |
oct | 3544200000 |
9 | 1246345610 |
10 | 496041984 |
11 | 235003759 |
12 | 11a159400 |
13 | 7b9ca689 |
14 | 49c45464 |
15 | 2d835609 |
hex | 1d910000 |
496041984 has 153 divisors (see below), whose sum is σ = 1484116933. Its totient is φ = 159645696.
The previous prime is 496041979. The next prime is 496042021. The reversal of 496041984 is 489140694.
The square root of 496041984 is 22272.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 260112384 + 235929600 = 16128^2 + 15360^2 .
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17104882 + ... + 17104910.
Almost surely, 2496041984 is an apocalyptic number.
496041984 is the 22272-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 496041984
496041984 is an abundant number, since it is smaller than the sum of its proper divisors (988074949).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
496041984 is an frugal number, since it uses more digits than its factorization.
496041984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The cubic root of 496041984 is about 791.6006557309.
It can be divided in two parts, 496041 and 984, that added together give a square (497025 = 7052).
The spelling of 496041984 in words is "four hundred ninety-six million, forty-one thousand, nine hundred eighty-four".
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