Search a number
-
+
258288 = 2435381
BaseRepresentation
bin111111000011110000
3111010022020
4333003300
531231123
65311440
72124012
oct770360
9433266
10258288
11167068
12105580
1390744
146a1b2
15517e3
hex3f0f0

258288 has 20 divisors (see below), whose sum is σ = 667368. Its totient is φ = 86080.

The previous prime is 258283. The next prime is 258299. The reversal of 258288 is 882852.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258288.

It is not an unprimeable number, because it can be changed into a prime (258283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2643 + ... + 2738.

2258288 is an apocalyptic number.

It is an amenable number.

258288 is an abundant number, since it is smaller than the sum of its proper divisors (409080).

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

258288 is a wasteful number, since it uses less digits than its factorization.

258288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5386 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 258288 is about 508.2204246191. The cubic root of 258288 is about 63.6846465975.

The spelling of 258288 in words is "two hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 5381 10762 16143 21524 32286 43048 64572 86096 129144 258288