Base | Representation |
---|---|
bin | 1011100111010… |
… | …0110100000000 |
3 | 10101122212121201 |
4 | 2321310310000 |
5 | 44432303320 |
6 | 4500030544 |
7 | 1131024202 |
oct | 271646400 |
9 | 111585551 |
10 | 48712960 |
11 | 2555184a |
12 | 14392454 |
13 | a12764a |
14 | 6680772 |
15 | 442370a |
hex | 2e74d00 |
48712960 has 72 divisors (see below), whose sum is σ = 122885280. Its totient is φ = 18450432.
The previous prime is 48712957. The next prime is 48712987. The reversal of 48712960 is 6921784.
It is a congruent number.
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, 23319 + ... + 25321.
It is an arithmetic number, because the mean of its divisors is an integer number (1706740).
Almost surely, 248712960 is an apocalyptic number.
48712960 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 48712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61442640).
48712960 is an abundant number, since it is smaller than the sum of its proper divisors (74172320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48712960 is a wasteful number, since it uses less digits than its factorization.
48712960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2043 (or 2029 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 37.
The square root of 48712960 is about 6979.4670283626. The cubic root of 48712960 is about 365.2146357543.
The spelling of 48712960 in words is "forty-eight million, seven hundred twelve thousand, nine hundred sixty".
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