Base | Representation |
---|---|
bin | 111000100101110… |
… | …110111100000000 |
3 | 2110011112222102100 |
4 | 320211312330000 |
5 | 3421024322243 |
6 | 234113550400 |
7 | 32346115164 |
oct | 7045667400 |
9 | 2404488370 |
10 | 949448448 |
11 | 447a36743 |
12 | 225b75400 |
13 | 12191aa20 |
14 | 9014cca4 |
15 | 585480d3 |
hex | 38976f00 |
949448448 has 108 divisors (see below), whose sum is σ = 2948163400. Its totient is φ = 292128768.
The previous prime is 949448443. The next prime is 949448459. The reversal of 949448448 is 844844949.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 949448394 and 949448403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (949448443) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14103 + ... + 45801.
Almost surely, 2949448448 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 949448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474081700).
949448448 is an abundant number, since it is smaller than the sum of its proper divisors (1998714952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
949448448 is a wasteful number, since it uses less digits than its factorization.
949448448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31734 (or 31717 counting only the distinct ones).
The product of its digits is 5308416, while the sum is 54.
The square root of 949448448 is about 30813.1213608748. The cubic root of 949448448 is about 982.8572893971.
The spelling of 949448448 in words is "nine hundred forty-nine million, four hundred forty-eight thousand, four hundred forty-eight".
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