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379125 = 3253337
BaseRepresentation
bin1011100100011110101
3201021001200
41130203311
544113000
612043113
73136215
oct1344365
9637050
10379125
1123992a
12163499
13103746
149c245
1577500
hex5c8f5

379125 has 24 divisors (see below), whose sum is σ = 685464. Its totient is φ = 201600.

The previous prime is 379123. The next prime is 379133. The reversal of 379125 is 521973.

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 338724 = 201^2 + 582^2 .

It is not a de Polignac number, because 379125 - 21 = 379123 is a prime.

379125 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379123) 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 23 ways as a sum of consecutive naturals, for example, 957 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (28561).

2379125 is an apocalyptic number.

It is an amenable number.

379125 is a deficient number, since it is larger than the sum of its proper divisors (306339).

379125 is a wasteful number, since it uses less digits than its factorization.

379125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 379125 is about 615.7312725532. The cubic root of 379125 is about 72.3759273061.

The spelling of 379125 in words is "three hundred seventy-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 337 375 1011 1125 1685 3033 5055 8425 15165 25275 42125 75825 126375 379125