Base | Representation |
---|---|
bin | 11101001111010… |
… | …110000110000000 |
3 | 1021012002010110000 |
4 | 131033112012000 |
5 | 2001040440140 |
6 | 120402240000 |
7 | 15104464452 |
oct | 3517260600 |
9 | 1235063400 |
10 | 490561920 |
11 | 231a00482 |
12 | 118356000 |
13 | 7a82c234 |
14 | 4921a2d2 |
15 | 2d101a30 |
hex | 1d3d6180 |
490561920 has 160 divisors (see below), whose sum is σ = 1752070320. Its totient is φ = 130802688.
The previous prime is 490561919. The next prime is 490561921. The reversal of 490561920 is 29165094.
490561920 is a `hidden beast` number, since 4 + 9 + 0 + 561 + 92 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (490561919) and next prime (490561921).
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (490561921) 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 19 ways as a sum of consecutive naturals, for example, 47109 + ... + 56571.
Almost surely, 2490561920 is an apocalyptic number.
490561920 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 490561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876035160).
490561920 is an abundant number, since it is smaller than the sum of its proper divisors (1261508400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
490561920 is an equidigital number, since it uses as much as digits as its factorization.
490561920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9494 (or 9473 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The square root of 490561920 is about 22148.6324634276. The cubic root of 490561920 is about 788.6747636660.
The spelling of 490561920 in words is "four hundred ninety million, five hundred sixty-one thousand, nine hundred twenty".
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