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249132069 = 32299772
BaseRepresentation
bin11101101100101…
…11010000100101
3122100210012221200
432312113100211
51002234211234
640415433113
76113405364
oct1666272045
9570705850
10249132069
111186a067a
126b525799
133c7ca634
14251317db
1516d11d99
hexed97425

249132069 has 18 divisors (see below), whose sum is σ = 372647730. Its totient is φ = 160196736.

The previous prime is 249132049. The next prime is 249132083. The reversal of 249132069 is 960231942.

It can be written as a sum of positive squares in 3 ways, for example, as 160959969 + 88172100 = 12687^2 + 9390^2 .

It is not a de Polignac number, because 249132069 - 29 = 249131557 is a prime.

It is a super-2 number, since 2×2491320692 = 124133575608441522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249132029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 254509 + ... + 255485.

Almost surely, 2249132069 is an apocalyptic number.

249132069 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

249132069 is a deficient number, since it is larger than the sum of its proper divisors (123515661).

249132069 is an frugal number, since it uses more digits than its factorization.

249132069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 249132069 is about 15783.9180497112. The cubic root of 249132069 is about 629.2306633108.

The spelling of 249132069 in words is "two hundred forty-nine million, one hundred thirty-two thousand, sixty-nine".

Divisors: 1 3 9 29 87 261 977 2931 8793 28333 84999 254997 954529 2863587 8590761 27681341 83044023 249132069