Base | Representation |
---|---|
bin | 1011001000010… |
… | …10111010100000 |
3 | 20111200120202220 |
4 | 11210022322200 |
5 | 142400233333 |
6 | 13133111040 |
7 | 2212420551 |
oct | 544127240 |
9 | 214616686 |
10 | 93367968 |
11 | 48781811 |
12 | 27328480 |
13 | 16460c25 |
14 | c586328 |
15 | 82e48b3 |
hex | 590aea0 |
93367968 has 48 divisors (see below), whose sum is σ = 246889440. Its totient is φ = 30894336.
The previous prime is 93367951. The next prime is 93367973. The reversal of 93367968 is 86976339.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a self number, because there is not a number n which added to its sum of digits gives 93367968.
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, 9846 + ... + 16842.
It is an arithmetic number, because the mean of its divisors is an integer number (5143530).
Almost surely, 293367968 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 93367968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123444720).
93367968 is an abundant number, since it is smaller than the sum of its proper divisors (153521472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93367968 is a wasteful number, since it uses less digits than its factorization.
93367968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7149 (or 7141 counting only the distinct ones).
The product of its digits is 1469664, while the sum is 51.
The square root of 93367968 is about 9662.7101788266. The cubic root of 93367968 is about 453.6622430442.
The spelling of 93367968 in words is "ninety-three million, three hundred sixty-seven thousand, nine hundred sixty-eight".
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