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609375 = 35613
BaseRepresentation
bin10010100110001011111
31010221220110
42110301133
5124000000
621021103
75115414
oct2246137
91127813
10609375
11386918
12254793
131844a0
1411c10b
15c0850
hex94c5f

609375 has 28 divisors (see below), whose sum is σ = 1093736. Its totient is φ = 300000.

The previous prime is 609373. The next prime is 609379. The reversal of 609375 is 573906.

It is a trimorphic number since its cube, 226284027099609375, ends in 609375.

It is not a de Polignac number, because 609375 - 21 = 609373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46869 + ... + 46881.

It is an arithmetic number, because the mean of its divisors is an integer number (39062).

609375 is a Friedman number, since it can be written as 39*5^(7-6^0), using all its digits and the basic arithmetic operations.

2609375 is an apocalyptic number.

609375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

609375 is a deficient number, since it is larger than the sum of its proper divisors (484361).

609375 is an frugal number, since it uses more digits than its factorization.

609375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 609375 is about 780.6247497998. The cubic root of 609375 is about 84.7802860754.

It can be divided in two parts, 60 and 9375, that multiplied together give a square (562500 = 7502).

The spelling of 609375 in words is "six hundred nine thousand, three hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 625 975 1625 1875 3125 4875 8125 9375 15625 24375 40625 46875 121875 203125 609375