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48313314 = 2337219312
BaseRepresentation
bin1011100001001…
…1001111100010
310100220120102000
42320103033202
544332011224
64443304430
71124441100
oct270231742
9110816360
1048313314
11252a9565
121421b116
13a01777a
1465b8c70
1543950c9
hex2e133e2

48313314 has 144 divisors (see below), whose sum is σ = 135842400. Its totient is φ = 12655440.

The previous prime is 48313313. The next prime is 48313339. The reversal of 48313314 is 41331384.

48313314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48313313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1558479 + ... + 1558509.

It is an arithmetic number, because the mean of its divisors is an integer number (943350).

Almost surely, 248313314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48313314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67921200).

48313314 is an abundant number, since it is smaller than the sum of its proper divisors (87529086).

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

48313314 is a wasteful number, since it uses less digits than its factorization.

48313314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 48313314 is about 6950.7779420724. Note that the first 3 decimals coincide. The cubic root of 48313314 is about 364.2131394721.

Adding to 48313314 its reverse (41331384), we get a palindrome (89644698).

The spelling of 48313314 in words is "forty-eight million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 31 38 42 49 54 57 62 63 93 98 114 126 133 147 171 186 189 217 266 279 294 342 378 399 434 441 513 558 589 651 798 837 882 931 961 1026 1178 1197 1302 1323 1519 1674 1767 1862 1922 1953 2394 2646 2793 2883 3038 3534 3591 3906 4123 4557 5301 5586 5766 5859 6727 7182 8246 8379 8649 9114 10602 11718 12369 13454 13671 15903 16758 17298 18259 20181 24738 25137 25947 27342 28861 31806 36518 37107 40362 41013 47089 50274 51894 54777 57722 60543 74214 82026 86583 94178 109554 111321 121086 127813 141267 164331 173166 181629 222642 255626 259749 282534 328662 363258 383439 423801 492993 519498 766878 779247 847602 894691 985986 1150317 1271403 1558494 1789382 2300634 2542806 2684073 3450951 5368146 6901902 8052219 16104438 24156657 48313314