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288125 = 54461
BaseRepresentation
bin1000110010101111101
3112122020022
41012111331
533210000
610101525
72310005
oct1062575
9478208
10288125
11187522
1211a8a5
13a11b6
1477005
155a585
hex4657d

288125 has 10 divisors (see below), whose sum is σ = 360822. Its totient is φ = 230000.

The previous prime is 288109. The next prime is 288137. The reversal of 288125 is 521882.

It can be written as a sum of positive squares in 5 ways, for example, as 139129 + 148996 = 373^2 + 386^2 .

It is not a de Polignac number, because 288125 - 24 = 288109 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 288094 and 288103.

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 288125.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 395 + ... + 855.

2288125 is an apocalyptic number.

288125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288125 is a deficient number, since it is larger than the sum of its proper divisors (72697).

288125 is an frugal number, since it uses more digits than its factorization.

288125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 288125 is about 536.7727638396. The cubic root of 288125 is about 66.0480977836.

The spelling of 288125 in words is "two hundred eighty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 461 625 2305 11525 57625 288125