Base | Representation |
---|---|
bin | 11101101011010… |
… | …01011100000000 |
3 | 122100102200111101 |
4 | 32311221130000 |
5 | 1002212210014 |
6 | 40411424144 |
7 | 6111664243 |
oct | 1665513400 |
9 | 570380441 |
10 | 248944384 |
11 | 118582667 |
12 | 6b455054 |
13 | 3c763090 |
14 | 250c325a |
15 | 16cc6474 |
hex | ed69700 |
248944384 has 144 divisors (see below), whose sum is σ = 586055680. Its totient is φ = 104509440.
The previous prime is 248944361. The next prime is 248944411. The reversal of 248944384 is 483449842.
Its product of digits (884736) is a multiple of the sum of its prime divisors (192).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960129 + ... + 1960255.
Almost surely, 2248944384 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 248944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293027840).
248944384 is an abundant number, since it is smaller than the sum of its proper divisors (337111296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248944384 is a wasteful number, since it uses less digits than its factorization.
248944384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 192 counting only the distinct ones).
The product of its digits is 884736, while the sum is 46.
The square root of 248944384 is about 15777.9714792492. The cubic root of 248944384 is about 629.0726121664.
The spelling of 248944384 in words is "two hundred forty-eight million, nine hundred forty-four thousand, three hundred eighty-four".
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