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2564625 = 3537977
BaseRepresentation
bin1001110010001000010001
311211022000010
421302020101
51124032000
6130545133
730541020
oct11621021
94738003
102564625
1114a1928
12a381a9
136ba43b
144aa8b7
15359d50
hex272211

2564625 has 32 divisors (see below), whose sum is σ = 4882176. Its totient is φ = 1171200.

The previous prime is 2564621. The next prime is 2564633. The reversal of 2564625 is 5264652.

It is not a de Polignac number, because 2564625 - 22 = 2564621 is a prime.

2564625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2564592 and 2564601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (152568).

22564625 is an apocalyptic number.

2564625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564625 is a deficient number, since it is larger than the sum of its proper divisors (2317551).

2564625 is an equidigital number, since it uses as much as digits as its factorization.

2564625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2564625 is about 1601.4446602989. Note that the first 3 decimals coincide. The cubic root of 2564625 is about 136.8804078262.

The spelling of 2564625 in words is "two million, five hundred sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 977 2625 2931 4885 6839 14655 20517 24425 34195 73275 102585 122125 170975 366375 512925 854875 2564625