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5808288 = 253173559
BaseRepresentation
bin10110001010000010100000
3101221002110210
4112022002200
52441331123
6324254120
7100240533
oct26120240
911832423
105808288
113307942
121b41340
131284975
14ab2a1a
1579ae93
hex58a0a0

5808288 has 48 divisors (see below), whose sum is σ = 16148160. Its totient is φ = 1821696.

The previous prime is 5808287. The next prime is 5808293. The reversal of 5808288 is 8828085.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5808287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (336420).

Almost surely, 25808288 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 5808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074080).

5808288 is an abundant number, since it is smaller than the sum of its proper divisors (10339872).

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

5808288 is a wasteful number, since it uses less digits than its factorization.

5808288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 5808288 is about 2410.0390038338. The cubic root of 5808288 is about 179.7557180122.

The spelling of 5808288 in words is "five million, eight hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3559 7118 10677 14236 21354 28472 42708 56944 60503 85416 113888 121006 170832 181509 242012 341664 363018 484024 726036 968048 1452072 1936096 2904144 5808288