Base | Representation |
---|---|
bin | 101101100100… |
… | …1111001100000 |
3 | 1122222000200000 |
4 | 1123021321200 |
5 | 22104130043 |
6 | 2212100000 |
7 | 410052420 |
oct | 133117140 |
9 | 48860600 |
10 | 23895648 |
11 | 12541177 |
12 | 8004600 |
13 | 4c4864a |
14 | 3260480 |
15 | 21702d3 |
hex | 16c9e60 |
23895648 has 144 divisors (see below), whose sum is σ = 80720640. Its totient is φ = 6811776.
The previous prime is 23895631. The next prime is 23895667. The reversal of 23895648 is 84659832.
23895648 is a `hidden beast` number, since 2 + 3 + 89 + 564 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×238956483 (a number of 23 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54213 + ... + 54651.
It is an arithmetic number, because the mean of its divisors is an integer number (560560).
Almost surely, 223895648 is an apocalyptic number.
23895648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40360320).
23895648 is an abundant number, since it is smaller than the sum of its proper divisors (56824992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23895648 is an equidigital number, since it uses as much as digits as its factorization.
23895648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 471 (or 451 counting only the distinct ones).
The product of its digits is 414720, while the sum is 45.
The square root of 23895648 is about 4888.3175019632. The cubic root of 23895648 is about 288.0312466098.
The spelling of 23895648 in words is "twenty-three million, eight hundred ninety-five thousand, six hundred forty-eight".
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