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5189625 = 32537659
BaseRepresentation
bin10011110010111111111001
3100202122211100
4103302333321
52312032000
6303122013
762053050
oct23627771
910678740
105189625
112a25051
1218a3309
1310c91ac
14991397
156c7a00
hex4f2ff9

5189625 has 48 divisors (see below), whose sum is σ = 10707840. Its totient is φ = 2368800.

The previous prime is 5189623. The next prime is 5189629. The reversal of 5189625 is 5269815.

It is a happy number.

5189625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5189625 - 21 = 5189623 is a prime.

It is a Curzon number.

5189625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5189625.

It is not an unprimeable number, because it can be changed into a prime (5189621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7546 + ... + 8204.

It is an arithmetic number, because the mean of its divisors is an integer number (223080).

Almost surely, 25189625 is an apocalyptic number.

It is an amenable number.

5189625 is an abundant number, since it is smaller than the sum of its proper divisors (5518215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5189625 is a wasteful number, since it uses less digits than its factorization.

5189625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5189625 is about 2278.0748451269. The cubic root of 5189625 is about 173.1325234472.

It can be divided in two parts, 51 and 89625, that added together give a triangular number (89676 = T423).

The spelling of 5189625 in words is "five million, one hundred eighty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 659 875 1125 1575 1977 2625 3295 4613 5931 7875 9885 13839 16475 23065 29655 41517 49425 69195 82375 115325 148275 207585 247125 345975 576625 741375 1037925 1729875 5189625