Base | Representation |
---|---|
bin | 1011011111111… |
… | …1011010010000 |
3 | 10100202102222100 |
4 | 2313333122100 |
5 | 44321411310 |
6 | 4441440400 |
7 | 1123652211 |
oct | 267773220 |
9 | 110672870 |
10 | 48232080 |
11 | 25253526 |
12 | 141a0100 |
13 | 9cb97c0 |
14 | 6597408 |
15 | 437aec0 |
hex | 2dff690 |
48232080 has 120 divisors (see below), whose sum is σ = 174473208. Its totient is φ = 11870208.
The previous prime is 48232061. The next prime is 48232097. The reversal of 48232080 is 8023284.
It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 46457856 = 1332^2 + 6816^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×482320802 = 4652667082252800, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6784 + ... + 11936.
Almost surely, 248232080 is an apocalyptic number.
48232080 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 48232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87236604).
48232080 is an abundant number, since it is smaller than the sum of its proper divisors (126241128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48232080 is a wasteful number, since it uses less digits than its factorization.
48232080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5185 (or 5176 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 48232080 is about 6944.9319651095. The cubic root of 48232080 is about 364.0088956486.
It can be divided in two parts, 4823 and 2080, that added together give a triangular number (6903 = T117).
The spelling of 48232080 in words is "forty-eight million, two hundred thirty-two thousand, eighty".
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