Base | Representation |
---|---|
bin | 101111101100… |
… | …1101010000000 |
3 | 1202001120120200 |
4 | 1133121222000 |
5 | 22400240033 |
6 | 2252005200 |
7 | 422366601 |
oct | 137315200 |
9 | 52046520 |
10 | 25008768 |
11 | 13131504 |
12 | 8460800 |
13 | 52481b5 |
14 | 346dda8 |
15 | 22e0013 |
hex | 17d9a80 |
25008768 has 96 divisors (see below), whose sum is σ = 76258260. Its totient is φ = 7839744.
The previous prime is 25008761. The next prime is 25008773. The reversal of 25008768 is 86780052.
It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 1272384 = 4872^2 + 1128^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (25008761) 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, 18946 + ... + 20222.
Almost surely, 225008768 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 25008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38129130).
25008768 is an abundant number, since it is smaller than the sum of its proper divisors (51249492).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
25008768 is a wasteful number, since it uses less digits than its factorization.
25008768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1314 (or 1299 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 25008768 is about 5000.8767231357. The cubic root of 25008768 is about 292.4359535425.
The spelling of 25008768 in words is "twenty-five million, eight thousand, seven hundred sixty-eight".
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