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5308584 = 2332359163
BaseRepresentation
bin10100010000000010101000
3100222201000020
4110100002220
52324333314
6305440440
763056631
oct24200250
910881006
105308584
112aa6466
121940120
13113b398
149c2888
156ecda9
hex5100a8

5308584 has 64 divisors (see below), whose sum is σ = 14169600. Its totient is φ = 1653696.

The previous prime is 5308579. The next prime is 5308609. The reversal of 5308584 is 4858035.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32487 + ... + 32649.

It is an arithmetic number, because the mean of its divisors is an integer number (221400).

Almost surely, 25308584 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 5308584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084800).

5308584 is an abundant number, since it is smaller than the sum of its proper divisors (8861016).

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

5308584 is a wasteful number, since it uses less digits than its factorization.

5308584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5308584 is about 2304.0364580449. The cubic root of 5308584 is about 174.4454171477.

The spelling of 5308584 in words is "five million, three hundred eight thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 163 177 184 236 276 326 354 472 489 552 652 708 978 1304 1357 1416 1956 2714 3749 3912 4071 5428 7498 8142 9617 10856 11247 14996 16284 19234 22494 28851 29992 32568 38468 44988 57702 76936 89976 115404 221191 230808 442382 663573 884764 1327146 1769528 2654292 5308584