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258797056 = 297163443
BaseRepresentation
bin11110110110011…
…10111000000000
3200000222020211011
433123032320000
51012223001211
641402530304
76261511240
oct1733167000
9600866734
10258797056
111230a2071
1272806994
134180286b
1426529b20
1517ac0921
hexf6cee00

258797056 has 80 divisors (see below), whose sum is σ = 595926144. Its totient is φ = 109983744.

The previous prime is 258797051. The next prime is 258797089. The reversal of 258797056 is 650797852.

258797056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258797051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583971 + ... + 584413.

Almost surely, 2258797056 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 258797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297963072).

258797056 is an abundant number, since it is smaller than the sum of its proper divisors (337129088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258797056 is an equidigital number, since it uses as much as digits as its factorization.

258797056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 258797056 is about 16087.1705405270. The cubic root of 258797056 is about 637.2645751741.

The spelling of 258797056 in words is "two hundred fifty-eight million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 443 448 512 652 886 896 1141 1304 1772 1792 2282 2608 3101 3544 3584 4564 5216 6202 7088 9128 10432 12404 14176 18256 20864 24808 28352 36512 41728 49616 56704 72209 73024 83456 99232 113408 144418 146048 198464 226816 288836 292096 396928 505463 577672 584192 793856 1010926 1155344 1587712 2021852 2310688 4043704 4621376 8087408 9242752 16174816 18485504 32349632 36971008 64699264 129398528 258797056