Search a number
-
+
2629625 = 53109193
BaseRepresentation
bin1010000001111111111001
311221121011112
422001333321
51133122000
6132210105
731231355
oct12017771
94847145
102629625
111536749
12a69935
13710bbb
144c6465
1536e235
hex281ff9

2629625 has 16 divisors (see below), whose sum is σ = 3329040. Its totient is φ = 2073600.

The previous prime is 2629621. The next prime is 2629639. The reversal of 2629625 is 5269262.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 937024 + 1692601 = 968^2 + 1301^2 .

It is not a de Polignac number, because 2629625 - 22 = 2629621 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2629591 and 2629600.

It is not an unprimeable number, because it can be changed into a prime (2629621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13529 + ... + 13721.

It is an arithmetic number, because the mean of its divisors is an integer number (208065).

22629625 is an apocalyptic number.

2629625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2629625 is a deficient number, since it is larger than the sum of its proper divisors (699415).

2629625 is a wasteful number, since it uses less digits than its factorization.

2629625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 2629625 is about 1621.6118524481. The cubic root of 2629625 is about 138.0271773121.

The spelling of 2629625 in words is "two million, six hundred twenty-nine thousand, six hundred twenty-five".

Divisors: 1 5 25 109 125 193 545 965 2725 4825 13625 21037 24125 105185 525925 2629625