Base | Representation |
---|---|
bin | 11001000111001… |
… | …011101000000000 |
3 | 1002100202220211002 |
4 | 121013023220000 |
5 | 1330324004044 |
6 | 105450111132 |
7 | 13304046566 |
oct | 3107135000 |
9 | 1070686732 |
10 | 421313024 |
11 | 1a6902790 |
12 | b911b4a8 |
13 | 69394562 |
14 | 3dd51a36 |
15 | 26ec374e |
hex | 191cba00 |
421313024 has 80 divisors (see below), whose sum is σ = 925119360. Its totient is φ = 190095360.
The previous prime is 421312999. The next prime is 421313051. The reversal of 421313024 is 420313124.
It is a junction number, because it is equal to n+sod(n) for n = 421312987 and 421313005.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345892 + ... + 1346204.
It is an arithmetic number, because the mean of its divisors is an integer number (11563992).
Almost surely, 2421313024 is an apocalyptic number.
421313024 is a gapful number since it is divisible by the number (44) 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 421313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462559680).
421313024 is an abundant number, since it is smaller than the sum of its proper divisors (503806336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
421313024 is a wasteful number, since it uses less digits than its factorization.
421313024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 581 (or 565 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 421313024 is about 20525.9110394642. The cubic root of 421313024 is about 749.6668292034. Note that the first 3 decimals are identical.
Adding to 421313024 its reverse (420313124), we get a palindrome (841626148).
The spelling of 421313024 in words is "four hundred twenty-one million, three hundred thirteen thousand, twenty-four".
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