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5809248 = 253223877
BaseRepresentation
bin10110001010010001100000
3101221010210100
4112022101200
52441343443
6324302400
7100243404
oct26122140
911833710
105809248
113308635
121b41a00
131285233
14ab3104
1579b3d3
hex58a460

5809248 has 72 divisors (see below), whose sum is σ = 17257968. Its totient is φ = 1850112.

The previous prime is 5809241. The next prime is 5809283. The reversal of 5809248 is 8429085.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5809241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6186 + ... + 7062.

It is an arithmetic number, because the mean of its divisors is an integer number (239694).

Almost surely, 25809248 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 5809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628984).

5809248 is an abundant number, since it is smaller than the sum of its proper divisors (11448720).

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

5809248 is a wasteful number, since it uses less digits than its factorization.

5809248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5809248 is about 2410.2381625059. The cubic root of 5809248 is about 179.7656208719.

The spelling of 5809248 in words is "five million, eight hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 877 1104 1656 1754 2208 2631 3312 3508 5262 6624 7016 7893 10524 14032 15786 20171 21048 28064 31572 40342 42096 60513 63144 80684 84192 121026 126288 161368 181539 242052 252576 322736 363078 484104 645472 726156 968208 1452312 1936416 2904624 5809248