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8742249 = 34372917
BaseRepresentation
bin100001010110…
…010101101001
3121110011010000
4201112111221
54214222444
6511213213
7134210415
oct41262551
917404100
108742249
114a311aa
122b17209
131a71239
141237d45
15b7a469
hex856569

8742249 has 20 divisors (see below), whose sum is σ = 13416964. Its totient is φ = 5668704.

The previous prime is 8742197. The next prime is 8742259. The reversal of 8742249 is 9422478.

It can be written as a sum of positive squares in 2 ways, for example, as 8450649 + 291600 = 2907^2 + 540^2 .

It is not a de Polignac number, because 8742249 - 27 = 8742121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742259) 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 19 ways as a sum of consecutive naturals, for example, 1539 + ... + 4455.

Almost surely, 28742249 is an apocalyptic number.

It is an amenable number.

8742249 is a deficient number, since it is larger than the sum of its proper divisors (4674715).

8742249 is a wasteful number, since it uses less digits than its factorization.

8742249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2957 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8742249 is about 2956.7294431517. The cubic root of 8742249 is about 206.0034011441.

The spelling of 8742249 in words is "eight million, seven hundred forty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 27 37 81 111 333 999 2917 2997 8751 26253 78759 107929 236277 323787 971361 2914083 8742249