Search a number
-
+
2505258 = 232759337
BaseRepresentation
bin1001100011101000101010
311201021120100
421203220222
51120132013
6125410230
730202650
oct11435052
94637510
102505258
111461268
12a09976
13699402
14492dd0
15347473
hex263a2a

2505258 has 48 divisors (see below), whose sum is σ = 6327360. Its totient is φ = 701568.

The previous prime is 2505253. The next prime is 2505259. The reversal of 2505258 is 8525052.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7266 + ... + 7602.

It is an arithmetic number, because the mean of its divisors is an integer number (131820).

22505258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163680).

2505258 is an abundant number, since it is smaller than the sum of its proper divisors (3822102).

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

2505258 is a wasteful number, since it uses less digits than its factorization.

2505258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2505258 is about 1582.8006823350. The cubic root of 2505258 is about 135.8159635870.

The spelling of 2505258 in words is "two million, five hundred five thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 337 354 413 531 674 826 1011 1062 1239 2022 2359 2478 3033 3717 4718 6066 7077 7434 14154 19883 21231 39766 42462 59649 119298 139181 178947 278362 357894 417543 835086 1252629 2505258