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293000525 = 52171136101
BaseRepresentation
bin10001011101101…
…101010101001101
3202102022222011022
4101131231111031
51100002004100
645024003525
710155314636
oct2135552515
9672288138
10293000525
111404336a4
12821605a5
1348919bbc
142acb088d
151aac9e85
hex1176d54d

293000525 has 24 divisors (see below), whose sum is σ = 388160424. Its totient is φ = 218624000.

The previous prime is 293000497. The next prime is 293000537. The reversal of 293000525 is 525000392.

It can be written as a sum of positive squares in 12 ways, for example, as 106213636 + 186786889 = 10306^2 + 13667^2 .

It is not a de Polignac number, because 293000525 - 210 = 292999501 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 293000494 and 293000503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44975 + ... + 51075.

It is an arithmetic number, because the mean of its divisors is an integer number (16173351).

Almost surely, 2293000525 is an apocalyptic number.

293000525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

293000525 is a deficient number, since it is larger than the sum of its proper divisors (95159899).

293000525 is a wasteful number, since it uses less digits than its factorization.

293000525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 293000525 is about 17117.2581040306. The cubic root of 293000525 is about 664.1856162318.

The spelling of 293000525 in words is "two hundred ninety-three million, five hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 17 25 85 113 425 565 1921 2825 6101 9605 30505 48025 103717 152525 518585 689413 2592925 3447065 11720021 17235325 58600105 293000525