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5653305 = 3257131137
BaseRepresentation
bin10101100100001100111001
3101122012212200
4111210030321
52421401210
6321100413
766023640
oct25441471
911565780
105653305
113211459
121a87709
13122c268
14a72357
1576a0c0
hex564339

5653305 has 48 divisors (see below), whose sum is σ = 11366784. Its totient is φ = 2545920.

The previous prime is 5653283. The next prime is 5653313. The reversal of 5653305 is 5033565.

It is a happy number.

5653305 is a `hidden beast` number, since 5 + 653 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 5653305 - 27 = 5653177 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41197 + ... + 41333.

It is an arithmetic number, because the mean of its divisors is an integer number (236808).

Almost surely, 25653305 is an apocalyptic number.

It is an amenable number.

5653305 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

5653305 is a wasteful number, since it uses less digits than its factorization.

5653305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 5653305 is about 2377.6679751387. The cubic root of 5653305 is about 178.1424710472.

It can be divided in two parts, 56 and 53305, that added together give a square (53361 = 2312).

The spelling of 5653305 in words is "five million, six hundred fifty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 131 137 315 393 411 655 685 917 959 1179 1233 1965 2055 2751 2877 4585 4795 5895 6165 8253 8631 13755 14385 17947 41265 43155 53841 89735 125629 161523 269205 376887 628145 807615 1130661 1884435 5653305