Base | Representation |
---|---|
bin | 11101101100010… |
… | …001011011000000 |
3 | 1021201100101102100 |
4 | 131230101123000 |
5 | 2010011114320 |
6 | 121232550400 |
7 | 15226106445 |
oct | 3554213300 |
9 | 1251311370 |
10 | 498144960 |
11 | 23620a755 |
12 | 11a9b2400 |
13 | 7c285941 |
14 | 4a2319cc |
15 | 2daed790 |
hex | 1db116c0 |
498144960 has 168 divisors, whose sum is σ = 1722455280. Its totient is φ = 132139008.
The previous prime is 498144947. The next prime is 498144967. The reversal of 498144960 is 69441894.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (498144967) 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 23 ways as a sum of consecutive naturals, for example, 774399 + ... + 775041.
It is an arithmetic number, because the mean of its divisors is an integer number (10252710).
Almost surely, 2498144960 is an apocalyptic number.
498144960 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 498144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861227640).
498144960 is an abundant number, since it is smaller than the sum of its proper divisors (1224310320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
498144960 is a wasteful number, since it uses less digits than its factorization.
498144960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 935 (or 922 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 498144960 is about 22319.1612745641. The cubic root of 498144960 is about 792.7177454329.
The spelling of 498144960 in words is "four hundred ninety-eight million, one hundred forty-four thousand, nine hundred sixty".
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