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5358564 = 2232473167
BaseRepresentation
bin10100011100001111100100
3101002020120100
4110130033210
52332433224
6310504100
763355431
oct24341744
911066510
105358564
11302aa72
121965030
131158063
149d6b88
1570cac9
hex51c3e4

5358564 has 36 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 1747632.

The previous prime is 5358541. The next prime is 5358569. The reversal of 5358564 is 4658535.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (5358569) 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, 109 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (384384).

Almost surely, 25358564 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 5358564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

5358564 is an abundant number, since it is smaller than the sum of its proper divisors (8479260).

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

5358564 is a wasteful number, since it uses less digits than its factorization.

5358564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3219 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5358564 is about 2314.8572310188. The cubic root of 5358564 is about 174.9911723438.

The spelling of 5358564 in words is "five million, three hundred fifty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 3167 6334 9501 12668 19002 28503 38004 57006 114012 148849 297698 446547 595396 893094 1339641 1786188 2679282 5358564