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68313648 = 24313831319
BaseRepresentation
bin1000001001001…
…10001000110000
311202112200201010
410010212020300
5114442014043
610440110520
71456441104
oct404461060
9152480633
1068313648
113561a067
121aa65440
13111cb0a0
149103904
155ee6133
hex4126230

68313648 has 80 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 20750592.

The previous prime is 68313643. The next prime is 68313659. The reversal of 68313648 is 84631386.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68313643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51133 + ... + 52451.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 268313648 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 68313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

68313648 is an abundant number, since it is smaller than the sum of its proper divisors (124174032).

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

68313648 is a wasteful number, since it uses less digits than its factorization.

68313648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 68313648 is about 8265.2070754458. The cubic root of 68313648 is about 408.7920982742.

The spelling of 68313648 in words is "sixty-eight million, three hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1319 1328 1992 2158 2638 3237 3957 3984 4316 5276 6474 7914 8632 10552 12948 15828 17147 17264 21104 25896 31656 34294 51441 51792 63312 68588 102882 109477 137176 205764 218954 274352 328431 411528 437908 656862 823056 875816 1313724 1423201 1751632 2627448 2846402 4269603 5254896 5692804 8539206 11385608 17078412 22771216 34156824 68313648