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5831328 = 2531923139
BaseRepresentation
bin10110001111101010100000
3101222021002010
4112033222200
52443100303
6324552520
7100364646
oct26175240
911867063
105831328
113323188
121b52740
1312922b9
14abb196
157a2c03
hex58faa0

5831328 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1748736.

The previous prime is 5831321. The next prime is 5831363. The reversal of 5831328 is 8231385.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5831295 and 5831304.

It is not an unprimeable number, because it can be changed into a prime (5831321) 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, 41883 + ... + 42021.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25831328 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 5831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5831328 is an abundant number, since it is smaller than the sum of its proper divisors (11103072).

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

5831328 is a wasteful number, since it uses less digits than its factorization.

5831328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 5831328 is about 2414.8142785730. The cubic root of 5831328 is about 179.9930861542.

The spelling of 5831328 in words is "five million, eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 139 152 184 228 276 278 304 368 417 437 456 552 556 608 736 834 874 912 1104 1112 1311 1668 1748 1824 2208 2224 2622 2641 3197 3336 3496 4448 5244 5282 6394 6672 6992 7923 9591 10488 10564 12788 13344 13984 15846 19182 20976 21128 25576 31692 38364 41952 42256 51152 60743 63384 76728 84512 102304 121486 126768 153456 182229 242972 253536 306912 364458 485944 728916 971888 1457832 1943776 2915664 5831328