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5567328 = 2532131487
BaseRepresentation
bin10101001111001101100000
3101110211221100
4111033031200
52411123303
6315154400
765215164
oct25171540
911424840
105567328
1131628a8
121a45a00
1311cc0a0
14a4cca4
1574e8a3
hex54f360

5567328 has 72 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1711872.

The previous prime is 5567327. The next prime is 5567329. The reversal of 5567328 is 8237655.

It is an interprime number because it is at equal distance from previous prime (5567327) and next prime (5567329).

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 a junction number, because it is equal to n+sod(n) for n = 5567292 and 5567301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5567327) 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 11 ways as a sum of consecutive naturals, for example, 3001 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 25567328 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 5567328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5567328 is an abundant number, since it is smaller than the sum of its proper divisors (11494080).

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

5567328 is a wasteful number, since it uses less digits than its factorization.

5567328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5567328 is about 2359.5185949680. The cubic root of 5567328 is about 177.2347741594.

The spelling of 5567328 in words is "five million, five hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1487 1872 2974 3744 4461 5948 8922 11896 13383 17844 19331 23792 26766 35688 38662 47584 53532 57993 71376 77324 107064 115986 142752 154648 173979 214128 231972 309296 347958 428256 463944 618592 695916 927888 1391832 1855776 2783664 5567328