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5000832 = 27331447
BaseRepresentation
bin10011000100111010000000
3100102001212000
4103010322000
52240011312
6255104000
760335454
oct23047200
910361760
105000832
112906221
121812000
131061295
14942664
1568badc
hex4c4e80

5000832 has 64 divisors (see below), whose sum is σ = 14769600. Its totient is φ = 1665792.

The previous prime is 5000797. The next prime is 5000851. The reversal of 5000832 is 2380005.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2733 + ... + 4179.

It is an arithmetic number, because the mean of its divisors is an integer number (230775).

Almost surely, 25000832 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 5000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384800).

5000832 is an abundant number, since it is smaller than the sum of its proper divisors (9768768).

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

5000832 is a wasteful number, since it uses less digits than its factorization.

5000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5000832 is about 2236.2540106169. The cubic root of 5000832 is about 171.0070788082.

Adding to 5000832 its reverse (2380005), we get a palindrome (7380837).

It can be divided in two parts, 5000 and 832, that added together give a cube (5832 = 183).

The spelling of 5000832 in words is "five million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1447 1728 2894 3456 4341 5788 8682 11576 13023 17364 23152 26046 34728 39069 46304 52092 69456 78138 92608 104184 138912 156276 185216 208368 277824 312552 416736 555648 625104 833472 1250208 1666944 2500416 5000832