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249359130 = 23254167577
BaseRepresentation
bin11101101110011…
…10101100011010
3122101012202102100
432313032230122
51002313443010
640424344230
76115342356
oct1667165432
9571182370
10249359130
11118836229
126b615076
133c879aa7
1425190466
1516d592c0
hexedceb1a

249359130 has 48 divisors (see below), whose sum is σ = 664156584. Its totient is φ = 64872960.

The previous prime is 249359083. The next prime is 249359137. The reversal of 249359130 is 31953942.

It is a happy number.

249359130 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 4 ways, for example, as 124612569 + 124746561 = 11163^2 + 11169^2 .

It is not an unprimeable number, because it can be changed into a prime (249359137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30099 + ... + 37478.

Almost surely, 2249359130 is an apocalyptic number.

249359130 is an abundant number, since it is smaller than the sum of its proper divisors (414797454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249359130 is a wasteful number, since it uses less digits than its factorization.

249359130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67631 (or 67628 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 249359130 is about 15791.1092073990. The cubic root of 249359130 is about 629.4217672512.

The spelling of 249359130 in words is "two hundred forty-nine million, three hundred fifty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 67577 135154 202731 337885 405462 608193 675770 1013655 1216386 2027310 2770657 3040965 5541314 6081930 8311971 13853285 16623942 24935913 27706570 41559855 49871826 83119710 124679565 249359130