| Base | Representation |
|---|---|
| bin | 1001010101100101… |
| … | …1000110001100000 |
| 3 | 20110200100101002100 |
| 4 | 2111121120301200 |
| 5 | 20113123212011 |
| 6 | 1052414050400 |
| 7 | 116053363206 |
| oct | 22531306140 |
| 9 | 6420311070 |
| 10 | 2506460256 |
| 11 | 1076916763 |
| 12 | 59b4a9a00 |
| 13 | 30c381aa1 |
| 14 | 19ac53076 |
| 15 | ea0a4d56 |
| hex | 95658c60 |
2506460256 has 144 divisors (see below), whose sum is σ = 7476356160. Its totient is φ = 795432960.
The previous prime is 2506460251. The next prime is 2506460287. The reversal of 2506460256 is 6520646052.
2506460256 is a `hidden beast` number, since 2 + 5 + 0 + 646 + 0 + 2 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2506460256.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2506460251) 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 23 ways as a sum of consecutive naturals, for example, 607641 + ... + 611751.
It is an arithmetic number, because the mean of its divisors is an integer number (51919140).
Almost surely, 22506460256 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 2506460256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738178080).
2506460256 is an abundant number, since it is smaller than the sum of its proper divisors (4969895904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2506460256 is a wasteful number, since it uses less digits than its factorization.
2506460256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4229 (or 4218 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 2506460256 is about 50064.5608789291. The cubic root of 2506460256 is about 1358.3768582672.
The spelling of 2506460256 in words is "two billion, five hundred six million, four hundred sixty thousand, two hundred fifty-six".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •