Base | Representation |
---|---|
bin | 110111000100110… |
… | …011101001010001 |
3 | 2101101200102022020 |
4 | 313010303221101 |
5 | 3343021210433 |
6 | 231404402053 |
7 | 31616633640 |
oct | 6704635121 |
9 | 2341612266 |
10 | 924006993 |
11 | 43463a148 |
12 | 219546329 |
13 | 119580900 |
14 | 8aa09357 |
15 | 561becb3 |
hex | 37133a51 |
924006993 has 96 divisors (see below), whose sum is σ = 1635932160. Its totient is φ = 452874240.
The previous prime is 924006977. The next prime is 924007009. The reversal of 924006993 is 399600429.
924006993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (924006977) and next prime (924007009).
It is not a de Polignac number, because 924006993 - 24 = 924006977 is a prime.
It is a super-2 number, since 2×9240069932 = 1707577846225804098, which contains 22 as substring.
924006993 is a modest number, since divided by 6993 gives 924 as remainder.
It is not an unprimeable number, because it can be changed into a prime (924006973) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787505 + ... + 4787697.
It is an arithmetic number, because the mean of its divisors is an integer number (17040960).
Almost surely, 2924006993 is an apocalyptic number.
It is an amenable number.
924006993 is a deficient number, since it is larger than the sum of its proper divisors (711925167).
924006993 is a wasteful number, since it uses less digits than its factorization.
924006993 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 319 (or 306 counting only the distinct ones).
The product of its (nonzero) digits is 104976, while the sum is 42.
The square root of 924006993 is about 30397.4833333288. The cubic root of 924006993 is about 973.9987944587.
The spelling of 924006993 in words is "nine hundred twenty-four million, six thousand, nine hundred ninety-three".
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