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2009625 = 35323233
BaseRepresentation
bin111101010101000011001
310210002200120
413222220121
51003302000
6111023453
723036652
oct7525031
93702616
102009625
111152952
1280ab89
13554937
143a4529
1529a6a0
hex1eaa19

2009625 has 32 divisors (see below), whose sum is σ = 3504384. Its totient is φ = 1020800.

The previous prime is 2009603. The next prime is 2009639. The reversal of 2009625 is 5269002.

It is not a de Polignac number, because 2009625 - 25 = 2009593 is a prime.

It is a Curzon number.

2009625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2009595 and 2009604.

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 31 ways as a sum of consecutive naturals, for example, 8509 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (109512).

22009625 is an apocalyptic number.

2009625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2009625 is a deficient number, since it is larger than the sum of its proper divisors (1494759).

2009625 is a wasteful number, since it uses less digits than its factorization.

2009625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2009625 is about 1417.6124294037. The cubic root of 2009625 is about 126.1938939668.

The spelling of 2009625 in words is "two million, nine thousand, six hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 125 233 345 375 575 699 1165 1725 2875 3495 5359 5825 8625 16077 17475 26795 29125 80385 87375 133975 401925 669875 2009625