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5417568 = 2532131447
BaseRepresentation
bin10100101010101001100000
3101012020111200
4110222221200
52341330233
6312041200
764022442
oct24525140
911166450
105417568
113070332
121993200
131178b80
14a10492
15720313
hex52aa60

5417568 has 72 divisors (see below), whose sum is σ = 16602768. Its totient is φ = 1665792.

The previous prime is 5417567. The next prime is 5417579. The reversal of 5417568 is 8657145.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417567) 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, 3021 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (230594).

Almost surely, 25417568 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 5417568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301384).

5417568 is an abundant number, since it is smaller than the sum of its proper divisors (11185200).

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

5417568 is a wasteful number, since it uses less digits than its factorization.

5417568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1465 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5417568 is about 2327.5669700354. The cubic root of 5417568 is about 175.6311144302.

The spelling of 5417568 in words is "five million, four hundred seventeen thousand, five hundred sixty-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 1447 1872 2894 3744 4341 5788 8682 11576 13023 17364 18811 23152 26046 34728 37622 46304 52092 56433 69456 75244 104184 112866 138912 150488 169299 208368 225732 300976 338598 416736 451464 601952 677196 902928 1354392 1805856 2708784 5417568