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5755520 = 27517232
BaseRepresentation
bin10101111101001010000000
3101211102002102
4111331022000
52433134040
6323205532
766630641
oct25751200
911742072
105755520
113281231
121b168a8
131266944
14a9b6c8
1578a515
hex57d280

5755520 has 96 divisors (see below), whose sum is σ = 15229620. Its totient is φ = 2072576.

The previous prime is 5755517. The next prime is 5755531. The reversal of 5755520 is 255575.

It can be written as a sum of positive squares in 2 ways, for example, as 5721664 + 33856 = 2392^2 + 184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250229 + ... + 250251.

Almost surely, 25755520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614810).

5755520 is an abundant number, since it is smaller than the sum of its proper divisors (9474100).

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

5755520 is a wasteful number, since it uses less digits than its factorization.

5755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 29.

The square root of 5755520 is about 2399.0664851146. The cubic root of 5755520 is about 179.2097039813.

Subtracting from 5755520 its reverse (255575), we obtain a palindrome (5499945).

It can be divided in two parts, 57555 and 20, that added together give a palindrome (57575).

The spelling of 5755520 in words is "five million, seven hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 128 136 160 170 184 230 272 320 340 368 391 460 529 544 640 680 736 782 920 1058 1088 1360 1472 1564 1840 1955 2116 2176 2645 2720 2944 3128 3680 3910 4232 5290 5440 6256 7360 7820 8464 8993 10580 10880 12512 14720 15640 16928 17986 21160 25024 31280 33856 35972 42320 44965 50048 62560 67712 71944 84640 89930 125120 143888 169280 179860 250240 287776 338560 359720 575552 719440 1151104 1438880 2877760 5755520