Search a number
-
+
2505375 = 325317131
BaseRepresentation
bin1001100011101010011111
311201021201200
421203222133
51120133000
6125410543
730203205
oct11435237
94637650
102505375
111461364
12a09a53
13699492
14493075
15347500
hex263a9f

2505375 has 48 divisors (see below), whose sum is σ = 4818528. Its totient is φ = 1248000.

The previous prime is 2505361. The next prime is 2505379. The reversal of 2505375 is 5735052.

It is not a de Polignac number, because 2505375 - 25 = 2505343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19060 + ... + 19190.

It is an arithmetic number, because the mean of its divisors is an integer number (100386).

22505375 is an apocalyptic number.

2505375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2505375 is a deficient number, since it is larger than the sum of its proper divisors (2313153).

2505375 is a wasteful number, since it uses less digits than its factorization.

2505375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 2505375 is about 1582.8376417056. The cubic root of 2505375 is about 135.8180778364.

It can be divided in two parts, 250 and 5375, that added together give a square (5625 = 752).

The spelling of 2505375 in words is "two million, five hundred five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 131 153 225 255 375 393 425 655 765 1125 1179 1275 1965 2125 2227 3275 3825 5895 6375 6681 9825 11135 16375 19125 20043 29475 33405 49125 55675 100215 147375 167025 278375 501075 835125 2505375