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249081 = 3729409
BaseRepresentation
bin111100110011111001
3110122200020
4330303321
530432311
65201053
72055120
oct746371
9418606
10249081
11160158
12100189
13894b1
1466ab7
154dc06
hex3ccf9

249081 has 16 divisors (see below), whose sum is σ = 393600. Its totient is φ = 137088.

The previous prime is 249079. The next prime is 249089. The reversal of 249081 is 180942.

It is not a de Polignac number, because 249081 - 21 = 249079 is a prime.

It is a super-2 number, since 2×2490812 = 124082689122, which contains 22 as substring.

It is a Curzon number.

249081 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249081.

It is not an unprimeable number, because it can be changed into a prime (249089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

2249081 is an apocalyptic number.

249081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249081 is a deficient number, since it is larger than the sum of its proper divisors (144519).

249081 is a wasteful number, since it uses less digits than its factorization.

249081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 249081 is about 499.0801538831. The cubic root of 249081 is about 62.9187665532.

The spelling of 249081 in words is "two hundred forty-nine thousand, eighty-one".

Divisors: 1 3 7 21 29 87 203 409 609 1227 2863 8589 11861 35583 83027 249081