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5581296 = 243273113
BaseRepresentation
bin10101010010100111110000
3101111120002200
4111102213300
52412100141
6315343200
765304000
oct25224760
911446080
105581296
113172346
121a51b00
131205556
14a54000
15753ab6
hex5529f0

5581296 has 120 divisors (see below), whose sum is σ = 18376800. Its totient is φ = 1580544.

The previous prime is 5581259. The next prime is 5581309. The reversal of 5581296 is 6921855.

It is a happy number.

5581296 is a `hidden beast` number, since 558 + 12 + 96 = 666.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5581296.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 49336 + ... + 49448.

It is an arithmetic number, because the mean of its divisors is an integer number (153140).

Almost surely, 25581296 is an apocalyptic number.

5581296 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 5581296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188400).

5581296 is an abundant number, since it is smaller than the sum of its proper divisors (12795504).

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

5581296 is a wasteful number, since it uses less digits than its factorization.

5581296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5581296 is about 2362.4766665514. The cubic root of 5581296 is about 177.3828732014.

The spelling of 5581296 in words is "five million, five hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 113 126 144 147 168 196 226 252 294 336 339 343 392 441 452 504 588 678 686 784 791 882 904 1008 1017 1029 1176 1356 1372 1582 1764 1808 2034 2058 2352 2373 2712 2744 3087 3164 3528 4068 4116 4746 5424 5488 5537 6174 6328 7056 7119 8136 8232 9492 11074 12348 12656 14238 16272 16464 16611 18984 22148 24696 28476 33222 37968 38759 44296 49392 49833 56952 66444 77518 88592 99666 113904 116277 132888 155036 199332 232554 265776 310072 348831 398664 465108 620144 697662 797328 930216 1395324 1860432 2790648 5581296