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3252249 = 3271113192
BaseRepresentation
bin1100011010000000011001
320010020020200
430122000121
51313032444
6153412413
736433530
oct14320031
96106220
103252249
111921510
12110a109
1389b410
14609317
15443969
hex31a019

3252249 has 72 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 1477440.

The previous prime is 3252217. The next prime is 3252281. The reversal of 3252249 is 9422523.

It is an interprime number because it is at equal distance from previous prime (3252217) and next prime (3252281).

It is not a de Polignac number, because 3252249 - 25 = 3252217 is a prime.

It is a super-4 number, since 4×32522494 (a number of 27 digits) contains 4444 as substring.

It is a d-powerful number, because it can be written as 39 + 29 + 57 + 213 + 221 + 410 + 9 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3252209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171162 + ... + 171180.

It is an arithmetic number, because the mean of its divisors is an integer number (92456).

Almost surely, 23252249 is an apocalyptic number.

3252249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3252249 is an abundant number, since it is smaller than the sum of its proper divisors (3404583).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3252249 is a wasteful number, since it uses less digits than its factorization.

3252249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3252249 is about 1803.3992902294. The cubic root of 3252249 is about 148.1589629968.

It can be divided in two parts, 3 and 252249, that added together give a palindrome (252252).

The spelling of 3252249 in words is "three million, two hundred fifty-two thousand, two hundred forty-nine".

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 91 99 117 133 143 171 209 231 247 273 361 399 429 627 693 741 819 1001 1083 1197 1287 1463 1729 1881 2223 2527 2717 3003 3249 3971 4389 4693 5187 7581 8151 9009 11913 13167 14079 15561 19019 22743 24453 27797 32851 35739 42237 51623 57057 83391 98553 154869 171171 250173 295659 361361 464607 1084083 3252249