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68478816 = 2537181563
BaseRepresentation
bin1000001010011…
…10011101100000
311202212002021110
410011032131200
5120012310231
610443423320
71461026460
oct405163540
9152762243
1068478816
113572216a
121ab24b40
1311258313
149147ba0
15602a046
hex414e760

68478816 has 96 divisors (see below), whose sum is σ = 206938368. Its totient is φ = 19422720.

The previous prime is 68478811. The next prime is 68478821. The reversal of 68478816 is 61887486.

It is an interprime number because it is at equal distance from previous prime (68478811) and next prime (68478821).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68478811) 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, 121351 + ... + 121913.

It is an arithmetic number, because the mean of its divisors is an integer number (2155608).

Almost surely, 268478816 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 68478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103469184).

68478816 is an abundant number, since it is smaller than the sum of its proper divisors (138459552).

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

68478816 is a wasteful number, since it uses less digits than its factorization.

68478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 68478816 is about 8275.1928074215. The cubic root of 68478816 is about 409.1212908166.

The spelling of 68478816 in words is "sixty-eight million, four hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 181 224 336 362 543 563 672 724 1086 1126 1267 1448 1689 2172 2252 2534 2896 3378 3801 3941 4344 4504 5068 5792 6756 7602 7882 8688 9008 10136 11823 13512 15204 15764 17376 18016 20272 23646 27024 30408 31528 40544 47292 54048 60816 63056 94584 101903 121632 126112 189168 203806 305709 378336 407612 611418 713321 815224 1222836 1426642 1630448 2139963 2445672 2853284 3260896 4279926 4891344 5706568 8559852 9782688 11413136 17119704 22826272 34239408 68478816