Base | Representation |
---|---|
bin | 100000010100… |
… | …011110100000 |
3 | 120221110001120 |
4 | 200110132200 |
5 | 4132104410 |
6 | 501332240 |
7 | 132005052 |
oct | 40243640 |
9 | 16843046 |
10 | 8472480 |
11 | 4867555 |
12 | 2a07080 |
13 | 19a8503 |
14 | 11a78d2 |
15 | b25570 |
hex | 8147a0 |
8472480 has 96 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 2138112.
The previous prime is 8472479. The next prime is 8472481. The reversal of 8472480 is 842748.
It is an interprime number because it is at equal distance from previous prime (8472479) and next prime (8472481).
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (8472481) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8656 + ... + 9584.
It is an arithmetic number, because the mean of its divisors is an integer number (292950).
Almost surely, 28472480 is an apocalyptic number.
8472480 is a gapful number since it is divisible by the number (80) 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 8472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).
8472480 is an abundant number, since it is smaller than the sum of its proper divisors (19650720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8472480 is a wasteful number, since it uses less digits than its factorization.
8472480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 966 (or 958 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 33.
The square root of 8472480 is about 2910.7524800299. The cubic root of 8472480 is about 203.8622676603.
The spelling of 8472480 in words is "eight million, four hundred seventy-two thousand, four hundred eighty".
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