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249510989 = 72131723041
BaseRepresentation
bin11101101111100…
…11110001001101
3122101111110201202
432313303301031
51002333322424
640431515245
76116544200
oct1667636115
9571443652
10249510989
1111892a332
126b688b25
133c900c50
14251cd937
1516d892ae
hexedf3c4d

249510989 has 24 divisors (see below), whose sum is σ = 330975288. Its totient is φ = 185794560.

The previous prime is 249510949. The next prime is 249510991. The reversal of 249510989 is 989015942.

It can be written as a sum of positive squares in 4 ways, for example, as 8236900 + 241274089 = 2870^2 + 15533^2 .

It is not a de Polignac number, because 249510989 - 212 = 249506893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249510949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692 + ... + 22349.

It is an arithmetic number, because the mean of its divisors is an integer number (13790637).

Almost surely, 2249510989 is an apocalyptic number.

It is an amenable number.

249510989 is a deficient number, since it is larger than the sum of its proper divisors (81464299).

249510989 is a wasteful number, since it uses less digits than its factorization.

249510989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23085 (or 23078 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 249510989 is about 15795.9168458181. The cubic root of 249510989 is about 629.5495133436.

The spelling of 249510989 in words is "two hundred forty-nine million, five hundred ten thousand, nine hundred eighty-nine".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 10829 23041 161287 299533 391697 1129009 2096731 2741879 5092061 14677117 19193153 35644427 249510989