Base | Representation |
---|---|
bin | 1011011111111… |
… | …1101110100000 |
3 | 10100202111202100 |
4 | 2313333232200 |
5 | 44321432001 |
6 | 4441450400 |
7 | 1123656042 |
oct | 267775640 |
9 | 110674670 |
10 | 48233376 |
11 | 252544a4 |
12 | 141a0a00 |
13 | 9cba279 |
14 | 6597a92 |
15 | 437b586 |
hex | 2dffba0 |
48233376 has 72 divisors (see below), whose sum is σ = 137837700. Its totient is φ = 15998976.
The previous prime is 48233333. The next prime is 48233387. The reversal of 48233376 is 67333284.
It can be written as a sum of positive squares in 2 ways, for example, as 47941776 + 291600 = 6924^2 + 540^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 48233376.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107200 + ... + 107648.
Almost surely, 248233376 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 48233376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68918850).
48233376 is an abundant number, since it is smaller than the sum of its proper divisors (89604324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48233376 is a wasteful number, since it uses less digits than its factorization.
48233376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 838 (or 827 counting only the distinct ones).
The product of its digits is 72576, while the sum is 36.
The square root of 48233376 is about 6945.0252699324. The cubic root of 48233376 is about 364.0121559359.
The spelling of 48233376 in words is "forty-eight million, two hundred thirty-three thousand, three hundred seventy-six".
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