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68647152 = 24371910753
BaseRepresentation
bin1000001011101…
…11100011110000
311210011122012010
410011313203300
5120033202102
610451202520
71462330320
oct405674360
9153148163
1068647152
1135827692
121aba6440
13112b6b22
14918d280
15605ed6c
hex41778f0

68647152 has 80 divisors (see below), whose sum is σ = 213359360. Its totient is φ = 18579456.

The previous prime is 68647141. The next prime is 68647169. The reversal of 68647152 is 25174686.

It is a super-2 number, since 2×686471522 = 9424862955422208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68647152.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1008 + ... + 11760.

It is an arithmetic number, because the mean of its divisors is an integer number (2666992).

Almost surely, 268647152 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 68647152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106679680).

68647152 is an abundant number, since it is smaller than the sum of its proper divisors (144712208).

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

68647152 is a wasteful number, since it uses less digits than its factorization.

68647152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10784 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 68647152 is about 8285.3576869077. The cubic root of 68647152 is about 409.4562532189.

The spelling of 68647152 in words is "sixty-eight million, six hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 10753 21506 32259 43012 64518 75271 86024 129036 150542 172048 204307 225813 258072 301084 408614 451626 516144 602168 612921 817228 903252 1204336 1225842 1430149 1634456 1806504 2451684 2860298 3268912 3613008 4290447 4903368 5720596 8580894 9806736 11441192 17161788 22882384 34323576 68647152