Base | Representation |
---|---|
bin | 1011101011010… |
… | …0110010000000 |
3 | 10102011012001000 |
4 | 2322310302000 |
5 | 100014144401 |
6 | 4505412000 |
7 | 1133165121 |
oct | 272646200 |
9 | 112135030 |
10 | 48974976 |
11 | 25710696 |
12 | 1449a000 |
13 | a1b999b |
14 | 670c048 |
15 | 4476186 |
hex | 2eb4c80 |
48974976 has 128 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 15842304.
The previous prime is 48974971. The next prime is 48974983. The reversal of 48974976 is 67947984.
It is a happy number.
48974976 is a `hidden beast` number, since 489 + 74 + 97 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (48974971) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 127681 + ... + 128063.
It is an arithmetic number, because the mean of its divisors is an integer number (1162800).
Almost surely, 248974976 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 48974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).
48974976 is an abundant number, since it is smaller than the sum of its proper divisors (99863424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48974976 is a wasteful number, since it uses less digits than its factorization.
48974976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 425 counting only the distinct ones).
The product of its digits is 3048192, while the sum is 54.
The square root of 48974976 is about 6998.2123431631. The cubic root of 48974976 is about 365.8682675610.
The spelling of 48974976 in words is "forty-eight million, nine hundred seventy-four thousand, nine hundred seventy-six".
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