Base | Representation |
---|---|
bin | 11000000110001… |
… | …000100010000000 |
3 | 1001011200120211100 |
4 | 120012020202000 |
5 | 1311442322432 |
6 | 104040414400 |
7 | 13006106322 |
oct | 3006104200 |
9 | 1034616740 |
10 | 404260992 |
11 | 1982162a3 |
12 | b3477400 |
13 | 659a3bb5 |
14 | 3b993612 |
15 | 2575607c |
hex | 18188880 |
404260992 has 96 divisors (see below), whose sum is σ = 1174942080. Its totient is φ = 133406208.
The previous prime is 404260991. The next prime is 404261023. The reversal of 404260992 is 299062404.
404260992 is a `hidden beast` number, since 4 + 0 + 42 + 609 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (404260991) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 116953 + ... + 120359.
It is an arithmetic number, because the mean of its divisors is an integer number (12238980).
Almost surely, 2404260992 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 404260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587471040).
404260992 is an abundant number, since it is smaller than the sum of its proper divisors (770681088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
404260992 is a wasteful number, since it uses less digits than its factorization.
404260992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3530 (or 3515 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 404260992 is about 20106.2426126813. The cubic root of 404260992 is about 739.4133358496.
The spelling of 404260992 in words is "four hundred four million, two hundred sixty thousand, nine hundred ninety-two".
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