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5656338 = 2331937149
BaseRepresentation
bin10101100100111100010010
3101122101001000
4111210330102
52422000323
6321122430
766035532
oct25447422
911571030
105656338
113213766
121a89416
13123075c
14a734c2
1576ae43
hex564f12

5656338 has 64 divisors (see below), whose sum is σ = 13680000. Its totient is φ = 1726272.

The previous prime is 5656307. The next prime is 5656379. The reversal of 5656338 is 8336565.

5656338 is a `hidden beast` number, since 565 + 63 + 38 = 666.

Its product of digits (64800) is a multiple of the sum of its prime factors (216).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 37888 + ... + 38036.

It is an arithmetic number, because the mean of its divisors is an integer number (213750).

Almost surely, 25656338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5656338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840000).

5656338 is an abundant number, since it is smaller than the sum of its proper divisors (8023662).

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

5656338 is a wasteful number, since it uses less digits than its factorization.

5656338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5656338 is about 2378.3056994424. The cubic root of 5656338 is about 178.1743231832.

It can be divided in two parts, 565 and 6338, that added together give a triangular number (6903 = T117).

The spelling of 5656338 in words is "five million, six hundred fifty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 149 171 222 298 333 342 447 513 666 703 894 999 1026 1341 1406 1998 2109 2682 2831 4023 4218 5513 5662 6327 8046 8493 11026 12654 16539 16986 18981 25479 33078 37962 49617 50958 76437 99234 104747 148851 152874 209494 297702 314241 628482 942723 1885446 2828169 5656338