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10252417 = 72209233
BaseRepresentation
bin100111000111…
…000010000001
3201021212200011
4213013002001
510111034132
61003424521
7153100300
oct47070201
921255604
1010252417
11587287a
123525141
13217c726
14150c437
15d77b47
hex9c7081

10252417 has 6 divisors (see below), whose sum is σ = 11926338. Its totient is φ = 8787744.

The previous prime is 10252387. The next prime is 10252423. The reversal of 10252417 is 71425201.

It is a happy number.

10252417 is digitally balanced in base 3, 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 only one way, i.e., 8520561 + 1731856 = 2919^2 + 1316^2 .

It is not a de Polignac number, because 10252417 - 219 = 9728129 is a prime.

It is a super-2 number, since 2×102524172 = 210224108683778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10252477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104568 + ... + 104665.

It is an arithmetic number, because the mean of its divisors is an integer number (1987723).

Almost surely, 210252417 is an apocalyptic number.

It is an amenable number.

10252417 is a deficient number, since it is larger than the sum of its proper divisors (1673921).

10252417 is an equidigital number, since it uses as much as digits as its factorization.

10252417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209247 (or 209240 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 10252417 is about 3201.9395684491. The cubic root of 10252417 is about 217.2411471120.

Adding to 10252417 its reverse (71425201), we get a palindrome (81677618).

The spelling of 10252417 in words is "ten million, two hundred fifty-two thousand, four hundred seventeen".

Divisors: 1 7 49 209233 1464631 10252417