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5006848 = 29711127
BaseRepresentation
bin10011000110011000000000
3100102101002211
4103012120000
52240204343
6255151504
760362140
oct23063000
910371084
105006848
11290a7a0
121815594
131063c42
14944920
1568d79d
hex4c6600

5006848 has 80 divisors (see below), whose sum is σ = 12570624. Its totient is φ = 1935360.

The previous prime is 5006839. The next prime is 5006867. The reversal of 5006848 is 8486005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39361 + ... + 39487.

Almost surely, 25006848 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 5006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312).

5006848 is an abundant number, since it is smaller than the sum of its proper divisors (7563776).

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

5006848 is a wasteful number, since it uses less digits than its factorization.

5006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5006848 is about 2237.5987129063. The cubic root of 5006848 is about 171.0756251569.

The spelling of 5006848 in words is "five million, six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 127 128 154 176 224 254 256 308 352 448 508 512 616 704 889 896 1016 1232 1397 1408 1778 1792 2032 2464 2794 2816 3556 3584 4064 4928 5588 5632 7112 8128 9779 9856 11176 14224 16256 19558 19712 22352 28448 32512 39116 39424 44704 56896 65024 78232 89408 113792 156464 178816 227584 312928 357632 455168 625856 715264 1251712 2503424 5006848