Search a number
-
+
5263625 = 53172477
BaseRepresentation
bin10100000101000100001001
3100220102100002
4110011010021
52321414000
6304452345
762511563
oct24050411
910812302
105263625
112a75704
12191a0b5
131123a93
149b0333
156de8d5
hex505109

5263625 has 16 divisors (see below), whose sum is σ = 6958224. Its totient is φ = 3961600.

The previous prime is 5263613. The next prime is 5263631.

It is a happy number.

5263625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1024144 + 4239481 = 1012^2 + 2059^2 .

It is not a de Polignac number, because 5263625 - 26 = 5263561 is a prime.

It is a d-powerful number, because it can be written as 5 + 220 + 63 + 39 + 63 + 222 + 54 .

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (434889).

Almost surely, 25263625 is an apocalyptic number.

It is an amenable number.

5263625 is a deficient number, since it is larger than the sum of its proper divisors (1694599).

5263625 is a wasteful number, since it uses less digits than its factorization.

5263625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 5263625 is about 2294.2591396789. The cubic root of 5263625 is about 173.9515543113.

The spelling of 5263625 in words is "five million, two hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 2477 12385 42109 61925 210545 309625 1052725 5263625