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249217093 = 17113129733
BaseRepresentation
bin11101101101011…
…00000001000101
3122100221112120201
432312230001011
51002244421333
640421330501
76114211306
oct1666540105
9570845521
10249217093
11118749544
126b566a31
133c82a248
14251547ad
1516d2c17d
hexedac045

249217093 has 8 divisors (see below), whose sum is σ = 266214168. Its totient is φ = 232479744.

The previous prime is 249217081. The next prime is 249217103. The reversal of 249217093 is 390712942.

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 229128769 = 4482^2 + 15137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 249217093 - 29 = 249216581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249217193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62946 + ... + 66787.

It is an arithmetic number, because the mean of its divisors is an integer number (33276771).

Almost surely, 2249217093 is an apocalyptic number.

It is an amenable number.

249217093 is a deficient number, since it is larger than the sum of its proper divisors (16997075).

249217093 is a wasteful number, since it uses less digits than its factorization.

249217093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129863.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 249217093 is about 15786.6111943001. The cubic root of 249217093 is about 629.3022366242.

The spelling of 249217093 in words is "two hundred forty-nine million, two hundred seventeen thousand, ninety-three".

Divisors: 1 17 113 1921 129733 2205461 14659829 249217093