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5871648 = 253311973
BaseRepresentation
bin10110011001100000100000
3102001022101110
4112121200200
53000343043
6325503320
7100623336
oct26314040
912038343
105871648
113350502
121b71b40
1312a7763
14acbb56
157aeb33
hex599820

5871648 has 48 divisors (see below), whose sum is σ = 15918336. Its totient is φ = 1893120.

The previous prime is 5871631. The next prime is 5871661. The reversal of 5871648 is 8461785.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1990 + ... + 3962.

It is an arithmetic number, because the mean of its divisors is an integer number (331632).

Almost surely, 25871648 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 5871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959168).

5871648 is an abundant number, since it is smaller than the sum of its proper divisors (10046688).

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

5871648 is a wasteful number, since it uses less digits than its factorization.

5871648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2009 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 5871648 is about 2423.1483652472. The cubic root of 5871648 is about 180.4069803577.

The spelling of 5871648 in words is "five million, eight hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1973 2976 3946 5919 7892 11838 15784 23676 31568 47352 61163 63136 94704 122326 183489 189408 244652 366978 489304 733956 978608 1467912 1957216 2935824 5871648