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5590256 = 247193771
BaseRepresentation
bin10101010100110011110000
3101112000101112
4111110303300
52412342011
6315452452
765342060
oct25246360
911460345
105590256
113179051
121a57128
131209659
14a573a0
1575658b
hex554cf0

5590256 has 80 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 2177280.

The previous prime is 5590253. The next prime is 5590271. The reversal of 5590256 is 6520955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5590253) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78701 + ... + 78771.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 25590256 is an apocalyptic number.

5590256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5590256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

5590256 is an abundant number, since it is smaller than the sum of its proper divisors (7980304).

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

5590256 is a wasteful number, since it uses less digits than its factorization.

5590256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 5590256 is about 2364.3722211192. The cubic root of 5590256 is about 177.4777436883.

The spelling of 5590256 in words is "five million, five hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 71 74 76 112 133 142 148 152 259 266 284 296 304 497 518 532 568 592 703 994 1036 1064 1136 1349 1406 1988 2072 2128 2627 2698 2812 3976 4144 4921 5254 5396 5624 7952 9443 9842 10508 10792 11248 18389 18886 19684 21016 21584 36778 37772 39368 42032 49913 73556 75544 78736 99826 147112 151088 199652 294224 349391 399304 698782 798608 1397564 2795128 5590256