Search a number
-
+
3002625 = 325317157
BaseRepresentation
bin1011011101000100000001
312122112211100
423131010001
51232041000
6144205013
734344003
oct13350401
95575740
103002625
111770a0a
121009769
13811902
14582373
153e4a00
hex2dd101

3002625 has 48 divisors (see below), whose sum is σ = 5767632. Its totient is φ = 1497600.

The previous prime is 3002621. The next prime is 3002639. The reversal of 3002625 is 5262003.

It can be written as a sum of positive squares in 8 ways, for example, as 859329 + 2143296 = 927^2 + 1464^2 .

It is not a de Polignac number, because 3002625 - 22 = 3002621 is a prime.

3002625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3002598 and 3002607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19047 + ... + 19203.

It is an arithmetic number, because the mean of its divisors is an integer number (120159).

Almost surely, 23002625 is an apocalyptic number.

It is an amenable number.

3002625 is a deficient number, since it is larger than the sum of its proper divisors (2765007).

3002625 is a wasteful number, since it uses less digits than its factorization.

3002625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3002625 is about 1732.8084141070. The cubic root of 3002625 is about 144.2670103800.

Adding to 3002625 its reverse (5262003), we get a palindrome (8264628).

The spelling of 3002625 in words is "three million, two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 157 225 255 375 425 471 765 785 1125 1275 1413 2125 2355 2669 3825 3925 6375 7065 8007 11775 13345 19125 19625 24021 35325 40035 58875 66725 120105 176625 200175 333625 600525 1000875 3002625