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293265625 = 561372
BaseRepresentation
bin10001011110101…
…110000011011001
3202102211102210211
4101132232003121
51100034000000
645033411121
710160500552
oct2136560331
9672742724
10293265625
111405a4894
1282269aa1
13489b0773
142ad3d329
151ab2d7ba
hex117ae0d9

293265625 has 21 divisors (see below), whose sum is σ = 369272617. Its totient is φ = 232900000.

The previous prime is 293265619. The next prime is 293265647. The reversal of 293265625 is 526562392.

The square root of 293265625 is 17125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 261048649 + 32216976 = 16157^2 + 5676^2 .

It is a de Polignac number, because none of the positive numbers 2k-293265625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2140557 + ... + 2140693.

Almost surely, 2293265625 is an apocalyptic number.

293265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

293265625 is the 17125-th square number.

293265625 is the 8563-rd centered octagonal number.

It is an amenable number.

293265625 is a deficient number, since it is larger than the sum of its proper divisors (76006992).

293265625 is an frugal number, since it uses more digits than its factorization.

293265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 142 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The cubic root of 293265625 is about 664.3858690363.

The spelling of 293265625 in words is "two hundred ninety-three million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 137 625 685 3125 3425 15625 17125 18769 85625 93845 428125 469225 2140625 2346125 11730625 58653125 293265625