Base | Representation |
---|---|
bin | 1010000111111… |
… | …0010010100000 |
3 | 2221220012121110 |
4 | 2201332102200 |
5 | 41332212240 |
6 | 4114023320 |
7 | 1023623010 |
oct | 241762240 |
9 | 87805543 |
10 | 42460320 |
11 | 21a71081 |
12 | 12277b40 |
13 | 8a48666 |
14 | 58d3c40 |
15 | 3adac80 |
hex | 287e4a0 |
42460320 has 96 divisors (see below), whose sum is σ = 152869248. Its totient is φ = 9704448.
The previous prime is 42460309. The next prime is 42460333. The reversal of 42460320 is 2306424.
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 (21).
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 15 ways as a sum of consecutive naturals, for example, 2959 + ... + 9678.
It is an arithmetic number, because the mean of its divisors is an integer number (1592388).
Almost surely, 242460320 is an apocalyptic number.
42460320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
42460320 is an abundant number, since it is smaller than the sum of its proper divisors (110408928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42460320 is a wasteful number, since it uses less digits than its factorization.
42460320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12662 (or 12654 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 42460320 is about 6516.1583774491. The cubic root of 42460320 is about 348.8679615349.
Adding to 42460320 its reverse (2306424), we get a palindrome (44766744).
The spelling of 42460320 in words is "forty-two million, four hundred sixty thousand, three hundred twenty".
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