| Base | Representation |
|---|---|
| bin | 11110101111100… |
| … | …01000110000000 |
| 3 | 122222021002201010 |
| 4 | 33113301012000 |
| 5 | 1012004414030 |
| 6 | 41331240520 |
| 7 | 6251005632 |
| oct | 1727610600 |
| 9 | 588232633 |
| 10 | 257888640 |
| 11 | 122631609 |
| 12 | 72449140 |
| 13 | 41575239 |
| 14 | 26370a52 |
| 15 | 179916b0 |
| hex | f5f1180 |
257888640 has 128 divisors (see below), whose sum is σ = 870484320. Its totient is φ = 64716800.
The previous prime is 257888639. The next prime is 257888641. The reversal of 257888640 is 46888752.
It is an interprime number because it is at equal distance from previous prime (257888639) and next prime (257888641).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 257888640.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (257888641) 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 15 ways as a sum of consecutive naturals, for example, 28690 + ... + 36590.
Almost surely, 2257888640 is an apocalyptic number.
257888640 is a gapful number since it is divisible by the number (20) 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 257888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435242160).
257888640 is an abundant number, since it is smaller than the sum of its proper divisors (612595680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257888640 is a wasteful number, since it uses less digits than its factorization.
257888640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7940 (or 7928 counting only the distinct ones).
The product of its (nonzero) digits is 860160, while the sum is 48.
The square root of 257888640 is about 16058.9115446845. The cubic root of 257888640 is about 636.5180700265.
The spelling of 257888640 in words is "two hundred fifty-seven million, eight hundred eighty-eight thousand, six hundred forty".
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