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258748256 = 25131075813
BaseRepresentation
bin11110110110000…
…10111101100000
3200000212202212202
433123002331200
51012214421011
641401512332
76261216044
oct1733027540
9600782782
10258748256
11123069438
12727a26a8
13417b65a0
1426516024
1517ab123b
hexf6c2f60

258748256 has 48 divisors (see below), whose sum is σ = 553818384. Its totient is φ = 118285824.

The previous prime is 258748249. The next prime is 258748261. The reversal of 258748256 is 652847852.

It is a self number, because there is not a number n which added to its sum of digits gives 258748256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41606 + ... + 47418.

It is an arithmetic number, because the mean of its divisors is an integer number (11537883).

Almost surely, 2258748256 is an apocalyptic number.

258748256 is a gapful number since it is divisible by the number (26) 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 258748256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276909192).

258748256 is an abundant number, since it is smaller than the sum of its proper divisors (295070128).

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

258748256 is a wasteful number, since it uses less digits than its factorization.

258748256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5935 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 47.

The square root of 258748256 is about 16085.6537324412. The cubic root of 258748256 is about 637.2245174462.

The spelling of 258748256 in words is "two hundred fifty-eight million, seven hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1391 1712 2782 3424 5564 5813 11128 11626 22256 23252 44512 46504 75569 93008 151138 186016 302276 604552 621991 1209104 1243982 2418208 2487964 4975928 8085883 9951856 16171766 19903712 32343532 64687064 129374128 258748256