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5558256 = 243211329
BaseRepresentation
bin10101001100111111110000
3101110101111100
4111030333300
52410331011
6315044400
765146554
oct25147760
911411440
105558256
113157000
121a40700
1311c7c12
14a49864
1574bd56
hex54cff0

5558256 has 120 divisors (see below), whose sum is σ = 17699760. Its totient is φ = 1626240.

The previous prime is 5558243. The next prime is 5558257. The reversal of 5558256 is 6528555.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5558256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5558257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191650 + ... + 191678.

It is an arithmetic number, because the mean of its divisors is an integer number (147498).

Almost surely, 25558256 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 5558256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849880).

5558256 is an abundant number, since it is smaller than the sum of its proper divisors (12141504).

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

5558256 is a wasteful number, since it uses less digits than its factorization.

5558256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 5558256 is about 2357.5953851329. The cubic root of 5558256 is about 177.1384533864.

Subtracting 5558256 from its reverse (6528555), we obtain a cube (970299 = 993).

It can be divided in two parts, 55 and 58256, that added together give a triangular number (58311 = T341).

The spelling of 5558256 in words is "five million, five hundred fifty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 121 132 144 174 176 198 232 242 261 264 319 348 363 396 464 484 522 528 638 696 726 792 957 968 1044 1089 1276 1331 1392 1452 1584 1914 1936 2088 2178 2552 2662 2871 2904 3509 3828 3993 4176 4356 5104 5324 5742 5808 7018 7656 7986 8712 10527 10648 11484 11979 14036 15312 15972 17424 21054 21296 22968 23958 28072 31581 31944 38599 42108 45936 47916 56144 63162 63888 77198 84216 95832 115797 126324 154396 168432 191664 231594 252648 308792 347391 463188 505296 617584 694782 926376 1389564 1852752 2779128 5558256