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5838912 = 263331109
BaseRepresentation
bin10110010001100001000000
3101222122111000
4112101201000
52443321122
6325052000
7100426032
oct26214100
911878430
105838912
113328952
121b57000
1312958a1
14abdc52
157a50ac
hex591840

5838912 has 112 divisors (see below), whose sum is σ = 17881600. Its totient is φ = 1866240.

The previous prime is 5838907. The next prime is 5838913. The reversal of 5838912 is 2198385.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 55 + 82 + 314 + 84 + 92 + 1 + 220 .

It is not an unprimeable number, because it can be changed into a prime (5838913) 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, 53514 + ... + 53622.

Almost surely, 25838912 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 5838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940800).

5838912 is an abundant number, since it is smaller than the sum of its proper divisors (12042688).

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

5838912 is a wasteful number, since it uses less digits than its factorization.

5838912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5838912 is about 2416.3840754317. The cubic root of 5838912 is about 180.0710830363.

The spelling of 5838912 in words is "five million, eight hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 109 124 144 186 192 216 218 248 279 288 327 372 432 436 496 558 576 654 744 837 864 872 981 992 1116 1308 1488 1674 1728 1744 1962 1984 2232 2616 2943 2976 3348 3379 3488 3924 4464 5232 5886 5952 6696 6758 6976 7848 8928 10137 10464 11772 13392 13516 15696 17856 20274 20928 23544 26784 27032 30411 31392 40548 47088 53568 54064 60822 62784 81096 91233 94176 108128 121644 162192 182466 188352 216256 243288 324384 364932 486576 648768 729864 973152 1459728 1946304 2919456 5838912