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378125 = 55112
BaseRepresentation
bin1011100010100001101
3201012200122
41130110031
544100000
612034325
73133256
oct1342415
9635618
10378125
11239100
121629a5
13103157
149bb2d
1577085
hex5c50d

378125 has 18 divisors (see below), whose sum is σ = 519498. Its totient is φ = 275000.

The previous prime is 378101. The next prime is 378127. The reversal of 378125 is 521873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 174724 + 203401 = 418^2 + 451^2 .

It is not a de Polignac number, because 378125 - 212 = 374029 is a prime.

It is a Duffinian number.

Its product of digits (1680) is a multiple of the sum of its prime divisors (16).

It is a Curzon number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 378094 and 378103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34370 + ... + 34380.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

378125 is a Friedman number, since it can be written as 5^3*(8*7-1)^2, using all its digits and the basic arithmetic operations.

2378125 is an apocalyptic number.

It is an amenable number.

378125 is a deficient number, since it is larger than the sum of its proper divisors (141373).

378125 is an frugal number, since it uses more digits than its factorization.

378125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 16 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 378125 is about 614.9186938124. The cubic root of 378125 is about 72.3122370941.

Adding to 378125 its reverse (521873), we get a palindrome (899998).

The spelling of 378125 in words is "three hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 3025 3125 6875 15125 34375 75625 378125