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10517049 = 32232472
BaseRepresentation
bin101000000111…
…101000111001
3201210022200100
4220013220321
510143021144
61013230013
7155251644
oct50075071
921708610
1010517049
115a33684
123632309
13224300a
14157aa5b
15dcb269
hexa07a39

10517049 has 27 divisors (see below), whose sum is σ = 16225573. Its totient is φ = 6563832.

The previous prime is 10517047. The next prime is 10517063. The reversal of 10517049 is 94071501.

The square root of 10517049 is 3243.

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

It is not a de Polignac number, because 10517049 - 21 = 10517047 is a prime.

It is a super-2 number, since 2×105170492 = 221216639336802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10517047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 223744 + ... + 223790.

Almost surely, 210517049 is an apocalyptic number.

10517049 is the 3243-rd square number.

10517049 is the 1622-nd centered octagonal number.

It is an amenable number.

10517049 is a deficient number, since it is larger than the sum of its proper divisors (5708524).

10517049 is an equidigital number, since it uses as much as digits as its factorization.

10517049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The cubic root of 10517049 is about 219.0944110355.

It can be divided in two parts, 1051 and 7049, that added together give a square (8100 = 902).

The spelling of 10517049 in words is "ten million, five hundred seventeen thousand, forty-nine".

Divisors: 1 3 9 23 47 69 141 207 423 529 1081 1587 2209 3243 4761 6627 9729 19881 24863 50807 74589 152421 223767 457263 1168561 3505683 10517049