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5300008 = 237314371
BaseRepresentation
bin10100001101111100101000
3100222021020121
4110031330220
52324100013
6305333024
763022630
oct24157450
910867217
105300008
112a9aa7a
121937174
1311374cc
149bd6c0
156ea58d
hex50df28

5300008 has 64 divisors (see below), whose sum is σ = 12165120. Its totient is φ = 2116800.

The previous prime is 5300003. The next prime is 5300027. The reversal of 5300008 is 8000035.

It is a junction number, because it is equal to n+sod(n) for n = 5299964 and 5300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300003) 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 15 ways as a sum of consecutive naturals, for example, 74613 + ... + 74683.

It is an arithmetic number, because the mean of its divisors is an integer number (190080).

Almost surely, 25300008 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 5300008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082560).

5300008 is an abundant number, since it is smaller than the sum of its proper divisors (6865112).

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

5300008 is a wasteful number, since it uses less digits than its factorization.

5300008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5300008 is about 2302.1746241326. The cubic root of 5300008 is about 174.3514278504.

The spelling of 5300008 in words is "five million, three hundred thousand, eight".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 71 86 124 142 172 217 248 284 301 344 434 497 568 602 868 994 1204 1333 1736 1988 2201 2408 2666 3053 3976 4402 5332 6106 8804 9331 10664 12212 15407 17608 18662 21371 24424 30814 37324 42742 61628 74648 85484 94643 123256 170968 189286 378572 662501 757144 1325002 2650004 5300008