Base | Representation |
---|---|
bin | 1111010010101000100000 |
3 | 21112122121020 |
4 | 33102220200 |
5 | 2011232410 |
6 | 221525440 |
7 | 46033350 |
oct | 17225040 |
9 | 7478536 |
10 | 4008480 |
11 | 22986a3 |
12 | 1413880 |
13 | aa46a8 |
14 | 764b60 |
15 | 542a70 |
hex | 3d2a20 |
4008480 has 96 divisors (see below), whose sum is σ = 14442624. Its totient is φ = 915456.
The previous prime is 4008461. The next prime is 4008523. The reversal of 4008480 is 848004.
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 (24).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 4008480.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764 + ... + 3956.
It is an arithmetic number, because the mean of its divisors is an integer number (150444).
Almost surely, 24008480 is an apocalyptic number.
4008480 is a gapful number since it is divisible by the number (40) 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 4008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221312).
4008480 is an abundant number, since it is smaller than the sum of its proper divisors (10434144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4008480 is a wasteful number, since it uses less digits than its factorization.
4008480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
The square root of 4008480 is about 2002.1188775894. The cubic root of 4008480 is about 158.8522023598.
The spelling of 4008480 in words is "four million, eight thousand, four hundred eighty".
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