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5058564 = 223731229
BaseRepresentation
bin10011010011000000000100
3100112000001020
4103103000010
52243333224
6300231140
760666000
oct23230004
910460036
105058564
112945635
12183b4b0
131081644
14959700
1569dc79
hex4d3004

5058564 has 48 divisors (see below), whose sum is σ = 13776000. Its totient is φ = 1444128.

The previous prime is 5058527. The next prime is 5058569. The reversal of 5058564 is 4658505.

It is not an unprimeable number, because it can be changed into a prime (5058569) 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 15 ways as a sum of consecutive naturals, for example, 3502 + ... + 4730.

It is an arithmetic number, because the mean of its divisors is an integer number (287000).

Almost surely, 25058564 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 5058564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888000).

5058564 is an abundant number, since it is smaller than the sum of its proper divisors (8717436).

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

5058564 is a wasteful number, since it uses less digits than its factorization.

5058564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5058564 is about 2249.1251632579. The cubic root of 5058564 is about 171.6626251392.

The spelling of 5058564 in words is "five million, fifty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1229 1372 2058 2458 3687 4116 4916 7374 8603 14748 17206 25809 34412 51618 60221 103236 120442 180663 240884 361326 421547 722652 843094 1264641 1686188 2529282 5058564