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2148249 = 35359229
BaseRepresentation
bin1000001100011110011001
311001010211210
420030132121
51022220444
6114013333
724155055
oct10143631
94033753
102148249
111238014
12877249
135a2a6c
143dcc65
152c67b9
hex20c799

2148249 has 16 divisors (see below), whose sum is σ = 2980800. Its totient is φ = 1375296.

The previous prime is 2148241. The next prime is 2148287. The reversal of 2148249 is 9428412.

It is not a de Polignac number, because 2148249 - 23 = 2148241 is a prime.

It is a super-3 number, since 3×21482493 = 29742338333513646747, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

2148249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2148241) 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, 9267 + ... + 9495.

It is an arithmetic number, because the mean of its divisors is an integer number (186300).

22148249 is an apocalyptic number.

It is an amenable number.

2148249 is a deficient number, since it is larger than the sum of its proper divisors (832551).

2148249 is a wasteful number, since it uses less digits than its factorization.

2148249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its digits is 4608, while the sum is 30.

The square root of 2148249 is about 1465.6906221983. The cubic root of 2148249 is about 129.0312405558.

The spelling of 2148249 in words is "two million, one hundred forty-eight thousand, two hundred forty-nine".

Divisors: 1 3 53 59 159 177 229 687 3127 9381 12137 13511 36411 40533 716083 2148249