| Base | Representation |
|---|---|
| bin | 1110101100101… |
| … | …0110100000000 |
| 3 | 11022000001100000 |
| 4 | 3223022310000 |
| 5 | 111240220003 |
| 6 | 10041200000 |
| 7 | 1346000103 |
| oct | 353126400 |
| 9 | 138001300 |
| 10 | 61648128 |
| 11 | 31887173 |
| 12 | 18790000 |
| 13 | ca061a9 |
| 14 | 828a73a |
| 15 | 562b1a3 |
| hex | 3acad00 |
61648128 has 108 divisors (see below), whose sum is σ = 184515968. Its totient is φ = 20528640.
The previous prime is 61648123. The next prime is 61648129. The reversal of 61648128 is 82184616.
61648128 is a `hidden beast` number, since 6 + 1 + 648 + 1 + 2 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 = 61648092 and 61648101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61648121) 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 11 ways as a sum of consecutive naturals, for example, 61713 + ... + 62703.
Almost surely, 261648128 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 61648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92257984).
61648128 is an abundant number, since it is smaller than the sum of its proper divisors (122867840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61648128 is an frugal number, since it uses more digits than its factorization.
61648128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1022 (or 996 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 61648128 is about 7851.6321870042. The cubic root of 61648128 is about 395.0389920382.
It can be divided in two parts, 61648 and 128, that added together give a triangular number (61776 = T351).
The spelling of 61648128 in words is "sixty-one million, six hundred forty-eight thousand, one hundred twenty-eight".
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