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10292525 = 52541761
BaseRepresentation
bin100111010000…
…110100101101
3201100220200122
4213100310231
510113330100
61004334325
7153325235
oct47206455
921326618
1010292525
11589aa21
1235443a5
132194a69
14151ccc5
15d84985
hex9d0d2d

10292525 has 12 divisors (see below), whose sum is σ = 12803124. Its totient is φ = 8208000.

The previous prime is 10292521. The next prime is 10292561. The reversal of 10292525 is 52529201.

10292525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2910436 + 7382089 = 1706^2 + 2717^2 .

It is not a de Polignac number, because 10292525 - 22 = 10292521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10292494 and 10292503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10292521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13145 + ... + 13905.

It is an arithmetic number, because the mean of its divisors is an integer number (1066927).

Almost surely, 210292525 is an apocalyptic number.

It is an amenable number.

10292525 is a deficient number, since it is larger than the sum of its proper divisors (2510599).

10292525 is an equidigital number, since it uses as much as digits as its factorization.

10292525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 10292525 is about 3208.1965338801. The cubic root of 10292525 is about 217.5240648055.

The spelling of 10292525 in words is "ten million, two hundred ninety-two thousand, five hundred twenty-five".

Divisors: 1 5 25 541 761 2705 3805 13525 19025 411701 2058505 10292525