Search a number
-
+
2415825 = 34521193
BaseRepresentation
bin1001001101110011010001
311112201220000
421031303101
51104301300
6123440213
726351136
oct11156321
94481800
102415825
111400055
12986069
136677a9
1446c58d
1532ac00
hex24dcd1

2415825 has 30 divisors (see below), whose sum is σ = 4478694. Its totient is φ = 1287360.

The previous prime is 2415779. The next prime is 2415839. The reversal of 2415825 is 5285142.

It is a happy number.

2415825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 2259009 = 396^2 + 1503^2 .

It is not a de Polignac number, because 2415825 - 211 = 2413777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1429 + ... + 2621.

22415825 is an apocalyptic number.

2415825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2415825 is a deficient number, since it is larger than the sum of its proper divisors (2062869).

2415825 is a wasteful number, since it uses less digits than its factorization.

2415825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1201 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2415825 is about 1554.2924435253. The cubic root of 2415825 is about 134.1802171586.

It can be divided in two parts, 2415 and 825, that added together give a triangular number (3240 = T80).

The spelling of 2415825 in words is "two million, four hundred fifteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1193 2025 3579 5965 10737 17895 29825 32211 53685 89475 96633 161055 268425 483165 805275 2415825