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258375 = 3531353
BaseRepresentation
bin111111000101000111
3111010102110
4333011013
531232000
65312103
72124165
oct770507
9433373
10258375
11167137
12105633
13907b0
146a235
1551850
hex3f147

258375 has 32 divisors (see below), whose sum is σ = 471744. Its totient is φ = 124800.

The previous prime is 258373. The next prime is 258389. The reversal of 258375 is 573852.

It is a happy number.

It is not a de Polignac number, because 258375 - 21 = 258373 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (8400) is a multiple of the sum of its prime factors (84).

258375 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258375.

It is not an unprimeable number, because it can be changed into a prime (258373) 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 31 ways as a sum of consecutive naturals, for example, 4849 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2258375 is an apocalyptic number.

258375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258375 is a deficient number, since it is larger than the sum of its proper divisors (213369).

258375 is a wasteful number, since it uses less digits than its factorization.

258375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 258375 is about 508.3060101946. The cubic root of 258375 is about 63.6917961647.

The spelling of 258375 in words is "two hundred fifty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 53 65 75 125 159 195 265 325 375 689 795 975 1325 1625 2067 3445 3975 4875 6625 10335 17225 19875 51675 86125 258375