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68442864 = 24371971151
BaseRepresentation
bin1000001010001…
…01101011110000
311202210020221220
410011011223300
5120010132424
610442545040
71460516610
oct405055360
9152706856
1068442864
11356a8156
121ab08180
1311244b49
149138a40
15601e579
hex4145af0

68442864 has 160 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 18144000.

The previous prime is 68442853. The next prime is 68442893. The reversal of 68442864 is 46824486.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 453189 + ... + 453339.

It is an arithmetic number, because the mean of its divisors is an integer number (1357056).

Almost surely, 268442864 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 68442864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

68442864 is an abundant number, since it is smaller than the sum of its proper divisors (148686096).

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

68442864 is a wasteful number, since it uses less digits than its factorization.

68442864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 68442864 is about 8273.0202465605. The cubic root of 68442864 is about 409.0496808193.

The spelling of 68442864 in words is "sixty-eight million, four hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 71 76 84 112 114 133 142 151 152 168 213 228 266 284 302 304 336 399 426 453 456 497 532 568 604 798 852 906 912 994 1057 1064 1136 1208 1349 1491 1596 1704 1812 1988 2114 2128 2416 2698 2869 2982 3171 3192 3408 3624 3976 4047 4228 5396 5738 5964 6342 6384 7248 7952 8094 8456 8607 9443 10721 10792 11476 11928 12684 16188 16912 17214 18886 20083 21442 21584 22952 23856 25368 28329 32163 32376 34428 37772 40166 42884 45904 50736 56658 60249 64326 64752 68856 75047 75544 80332 85768 113316 120498 128652 137712 150094 151088 160664 171536 203699 225141 226632 240996 257304 300188 321328 407398 450282 453264 481992 514608 600376 611097 814796 900564 963984 1200752 1222194 1425893 1629592 1801128 2444388 2851786 3259184 3602256 4277679 4888776 5703572 8555358 9777552 11407144 17110716 22814288 34221432 68442864