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2688625 = 53137157
BaseRepresentation
bin1010010000011001110001
312001121002201
422100121301
51142014000
6133343201
731565362
oct12203161
95047081
102688625
111577005
12a97b01
13731a04
144ddb69
1538196a
hex290671

2688625 has 16 divisors (see below), whose sum is σ = 3401424. Its totient is φ = 2121600.

The previous prime is 2688617. The next prime is 2688629. The reversal of 2688625 is 5268862.

It can be written as a sum of positive squares in 8 ways, for example, as 1032256 + 1656369 = 1016^2 + 1287^2 .

It is not a de Polignac number, because 2688625 - 23 = 2688617 is a prime.

It is a d-powerful number, because it can be written as 211 + 66 + 82 + 86 + 67 + 221 + 54 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17047 + ... + 17203.

It is an arithmetic number, because the mean of its divisors is an integer number (212589).

22688625 is an apocalyptic number.

2688625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2688625 is a deficient number, since it is larger than the sum of its proper divisors (712799).

2688625 is a wasteful number, since it uses less digits than its factorization.

2688625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 2688625 is about 1639.7027169582. The cubic root of 2688625 is about 139.0518413326.

The spelling of 2688625 in words is "two million, six hundred eighty-eight thousand, six hundred twenty-five".

Divisors: 1 5 25 125 137 157 685 785 3425 3925 17125 19625 21509 107545 537725 2688625