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258080250 = 23531013407
BaseRepresentation
bin11110110000111…
…11110111111010
3122222121211112210
433120133313322
51012032032000
641335315550
76252434361
oct1730376772
9588554483
10258080250
1112275256a
127251bbb6
134161150c
14263c07d8
15179cd350
hexf61fdfa

258080250 has 64 divisors (see below), whose sum is σ = 650737152. Its totient is φ = 68120000.

The previous prime is 258080233. The next prime is 258080269. The reversal of 258080250 is 52080852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74047 + ... + 77453.

It is an arithmetic number, because the mean of its divisors is an integer number (10167768).

Almost surely, 2258080250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258080250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325368576).

258080250 is an abundant number, since it is smaller than the sum of its proper divisors (392656902).

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

258080250 is a wasteful number, since it uses less digits than its factorization.

258080250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 258080250 is about 16064.8762833705. The cubic root of 258080250 is about 636.6756742723.

It can be divided in two parts, 2580802 and 50, that added together give a palindrome (2580852).

The spelling of 258080250 in words is "two hundred fifty-eight million, eighty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 125 150 202 250 303 375 505 606 750 1010 1515 2525 3030 3407 5050 6814 7575 10221 12625 15150 17035 20442 25250 34070 37875 51105 75750 85175 102210 170350 255525 344107 425875 511050 688214 851750 1032321 1277625 1720535 2064642 2555250 3441070 5161605 8602675 10323210 17205350 25808025 43013375 51616050 86026750 129040125 258080250