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249933047 = 71314918433
BaseRepresentation
bin11101110010110…
…10110011110111
3122102021220200112
432321122303313
51002440324142
640444533235
76123252530
oct1671326367
9572256615
10249933047
11119098441
126b85121b
133ca1b0a0
142529d687
1516e1e382
hexee5acf7

249933047 has 16 divisors (see below), whose sum is σ = 309691200. Its totient is φ = 196411392.

The previous prime is 249933041. The next prime is 249933053. The reversal of 249933047 is 740339942.

It is an interprime number because it is at equal distance from previous prime (249933041) and next prime (249933053).

It is a cyclic number.

It is not a de Polignac number, because 249933047 - 224 = 233155831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249932995 and 249933013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249933041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4343 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (19355700).

Almost surely, 2249933047 is an apocalyptic number.

249933047 is a deficient number, since it is larger than the sum of its proper divisors (59758153).

249933047 is a wasteful number, since it uses less digits than its factorization.

249933047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18602.

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 249933047 is about 15809.2709193055. The cubic root of 249933047 is about 629.9042829303.

The spelling of 249933047 in words is "two hundred forty-nine million, nine hundred thirty-three thousand, forty-seven".

Divisors: 1 7 13 91 149 1043 1937 13559 18433 129031 239629 1677403 2746517 19225619 35704721 249933047