Base | Representation |
---|---|
bin | 110000011100101… |
… | …1110101001000000 |
3 | 11012022000010022222 |
4 | 1200321132221000 |
5 | 11312133233243 |
6 | 425151550212 |
7 | 55200025100 |
oct | 14071365100 |
9 | 4168003288 |
10 | 1625680448 |
11 | 764721867 |
12 | 39452b368 |
13 | 1cba578c2 |
14 | 115c9b200 |
15 | 97ac3168 |
hex | 60e5ea40 |
1625680448 has 84 divisors (see below), whose sum is σ = 3823842492. Its totient is φ = 683504640.
The previous prime is 1625680447. The next prime is 1625680453. The reversal of 1625680448 is 8440865261.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 941753344 + 683927104 = 30688^2 + 26152^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1625680399 and 1625680408.
It is not an unprimeable number, because it can be changed into a prime (1625680447) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 161318 + ... + 171098.
Almost surely, 21625680448 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 1625680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911921246).
1625680448 is an abundant number, since it is smaller than the sum of its proper divisors (2198162044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1625680448 is an equidigital number, since it uses as much as digits as its factorization.
1625680448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9860 (or 9843 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 44.
The square root of 1625680448 is about 40319.7277768588. The cubic root of 1625680448 is about 1175.8314195236.
The spelling of 1625680448 in words is "one billion, six hundred twenty-five million, six hundred eighty thousand, four hundred forty-eight".
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