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248077125 = 3253220513
BaseRepresentation
bin11101100100101…
…01101101000101
3122021210121211200
432302111231011
51002001432000
640341053113
76101422632
oct1662255505
9567717750
10248077125
1111804001a
126b0b7199
133c51b3ca
1424d39189
1516ba4500
hexec95b45

248077125 has 24 divisors (see below), whose sum is σ = 447202392. Its totient is φ = 132307200.

The previous prime is 248077121. The next prime is 248077147. The reversal of 248077125 is 521770842.

It can be written as a sum of positive squares in 4 ways, for example, as 675684 + 247401441 = 822^2 + 15729^2 .

It is not a de Polignac number, because 248077125 - 22 = 248077121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248077125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248077121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109132 + ... + 111381.

It is an arithmetic number, because the mean of its divisors is an integer number (18633433).

Almost surely, 2248077125 is an apocalyptic number.

248077125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248077125 is a deficient number, since it is larger than the sum of its proper divisors (199125267).

248077125 is a wasteful number, since it uses less digits than its factorization.

248077125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220534 (or 220521 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 248077125 is about 15750.4642788713. The cubic root of 248077125 is about 628.3412524868.

The spelling of 248077125 in words is "two hundred forty-eight million, seventy-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 220513 661539 1102565 1984617 3307695 5512825 9923085 16538475 27564125 49615425 82692375 248077125