Base | Representation |
---|---|
bin | 1110010110010000111… |
… | …01100010101001100000 |
3 | 1202010111021122022222100 |
4 | 13023020131202221200 |
5 | 31034120300142130 |
6 | 1014250511010400 |
7 | 50421511155411 |
oct | 7131035425140 |
9 | 1663437568870 |
10 | 492989459040 |
11 | 1800917742a1 |
12 | 7b665209a00 |
13 | 376478c3ca0 |
14 | 19c0a121808 |
15 | cc55435c60 |
hex | 72c8762a60 |
492989459040 has 288 divisors, whose sum is σ = 1813532456736. Its totient is φ = 121230950400.
The previous prime is 492989459033. The next prime is 492989459047. The reversal of 492989459040 is 40954989294.
492989459040 is a `hidden beast` number, since 4 + 92 + 98 + 9 + 459 + 0 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (492989459033) and next prime (492989459047).
It is a tau number, because it is divible by the number of its divisors (288).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (492989459047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19662192 + ... + 19687248.
It is an arithmetic number, because the mean of its divisors is an integer number (6296987697).
Almost surely, 2492989459040 is an apocalyptic number.
492989459040 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 492989459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906766228368).
492989459040 is an abundant number, since it is smaller than the sum of its proper divisors (1320542997696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
492989459040 is a wasteful number, since it uses less digits than its factorization.
492989459040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26142 (or 26131 counting only the distinct ones).
The product of its (nonzero) digits is 33592320, while the sum is 63.
The spelling of 492989459040 in words is "four hundred ninety-two billion, nine hundred eighty-nine million, four hundred fifty-nine thousand, forty".
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