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5331312 = 243374143
BaseRepresentation
bin10100010101100101110000
3101000212012000
4110111211300
52331100222
6310134000
763213120
oct24254560
911025160
105331312
113011548
121951300
13114882c
149cac80
157049ac
hex515970

5331312 has 160 divisors (see below), whose sum is σ = 18332160. Its totient is φ = 1451520.

The previous prime is 5331259. The next prime is 5331317. The reversal of 5331312 is 2131335.

5331312 is a `hidden beast` number, since 533 + 131 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123963 + ... + 124005.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 25331312 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 5331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080).

5331312 is an abundant number, since it is smaller than the sum of its proper divisors (13000848).

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

5331312 is a wasteful number, since it uses less digits than its factorization.

5331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 5331312 is about 2308.9634037810. The cubic root of 5331312 is about 174.6940176918.

Adding to 5331312 its reverse (2131335), we get a palindrome (7462647).

The spelling of 5331312 in words is "five million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 43 48 54 56 63 72 82 84 86 108 112 123 126 129 144 164 168 172 189 216 246 252 258 287 301 328 336 344 369 378 387 432 492 504 516 574 602 656 688 738 756 774 861 903 984 1008 1032 1107 1148 1161 1204 1476 1512 1548 1722 1763 1806 1968 2064 2214 2296 2322 2408 2583 2709 2952 3024 3096 3444 3526 3612 4428 4592 4644 4816 5166 5289 5418 5904 6192 6888 7052 7224 7749 8127 8856 9288 10332 10578 10836 12341 13776 14104 14448 15498 15867 16254 17712 18576 20664 21156 21672 24682 28208 30996 31734 32508 37023 41328 42312 43344 47601 49364 61992 63468 65016 74046 84624 95202 98728 111069 123984 126936 130032 148092 190404 197456 222138 253872 296184 333207 380808 444276 592368 666414 761616 888552 1332828 1777104 2665656 5331312