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11533257 = 325932161
BaseRepresentation
bin101011111111…
…101111001001
3210200221122200
4223333233021
510423031012
61051110413
7200013441
oct53775711
923627580
1011533257
11656811a
123a42409
13250a718
141763121
15102c3dc
hexaffbc9

11533257 has 12 divisors (see below), whose sum is σ = 16694964. Its totient is φ = 7672320.

The previous prime is 11533253. The next prime is 11533273. The reversal of 11533257 is 75233511.

It can be written as a sum of positive squares in 2 ways, for example, as 7160976 + 4372281 = 2676^2 + 2091^2 .

It is not a de Polignac number, because 11533257 - 22 = 11533253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11533257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4257 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (1391247).

Almost surely, 211533257 is an apocalyptic number.

It is an amenable number.

11533257 is a deficient number, since it is larger than the sum of its proper divisors (5161707).

11533257 is a wasteful number, since it uses less digits than its factorization.

11533257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2757 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 11533257 is about 3396.0649287079. The cubic root of 11533257 is about 225.9352478498.

Adding to 11533257 its reverse (75233511), we get a palindrome (86766768).

The spelling of 11533257 in words is "eleven million, five hundred thirty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 593 1779 2161 5337 6483 19449 1281473 3844419 11533257