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249429 = 3294761
BaseRepresentation
bin111100111001010101
3110200011010
4330321111
530440204
65202433
72056125
oct747125
9420133
10249429
11160444
12100419
13896bb
1466c85
154dd89
hex3ce55

249429 has 16 divisors (see below), whose sum is σ = 357120. Its totient is φ = 154560.

The previous prime is 249427. The next prime is 249433. The reversal of 249429 is 924942.

It is not a de Polignac number, because 249429 - 21 = 249427 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 249396 and 249405.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249429.

It is not an unprimeable number, because it can be changed into a prime (249421) 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 15 ways as a sum of consecutive naturals, for example, 4059 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2249429 is an apocalyptic number.

249429 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

249429 is a deficient number, since it is larger than the sum of its proper divisors (107691).

249429 is a wasteful number, since it uses less digits than its factorization.

249429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its digits is 5184, while the sum is 30.

The square root of 249429 is about 499.4286735861. The cubic root of 249429 is about 62.9480549394.

It can be divided in two parts, 24 and 9429, that added together give a triangular number (9453 = T137).

The spelling of 249429 in words is "two hundred forty-nine thousand, four hundred twenty-nine".

Divisors: 1 3 29 47 61 87 141 183 1363 1769 2867 4089 5307 8601 83143 249429