Base | Representation |
---|---|
bin | 11110101010001… |
… | …11000100110100 |
3 | 122220221201102200 |
4 | 33111013010310 |
5 | 1011320122434 |
6 | 41304304500 |
7 | 6242045421 |
oct | 1725070464 |
9 | 586851380 |
10 | 257192244 |
11 | 1221a6381 |
12 | 72172130 |
13 | 4139027a |
14 | 2622cd48 |
15 | 178a5199 |
hex | f547134 |
257192244 has 72 divisors (see below), whose sum is σ = 674139648. Its totient is φ = 82589760.
The previous prime is 257192239. The next prime is 257192251. The reversal of 257192244 is 442291752.
257192244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2571922442 = 132295700747511072, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 257192199 and 257192208.
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, 353409 + ... + 354135.
Almost surely, 2257192244 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 257192244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337069824).
257192244 is an abundant number, since it is smaller than the sum of its proper divisors (416947404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257192244 is a wasteful number, since it uses less digits than its factorization.
257192244 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1085 (or 1080 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 257192244 is about 16037.2143466376. The cubic root of 257192244 is about 635.9446077306.
The spelling of 257192244 in words is "two hundred fifty-seven million, one hundred ninety-two thousand, two hundred forty-four".
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