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68242944 = 293711577
BaseRepresentation
bin1000001000101…
…00111000000000
311202102002201110
410010110320000
5114432233234
610434403320
71456025010
oct404247000
9152362643
1068242944
1135580a30
121aa30540
13111a4b53
1490c5c40
155ed01e9
hex4114e00

68242944 has 160 divisors (see below), whose sum is σ = 227056896. Its totient is φ = 17694720.

The previous prime is 68242943. The next prime is 68242969. The reversal of 68242944 is 44924286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68242943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117984 + ... + 118560.

Almost surely, 268242944 is an apocalyptic number.

68242944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113528448).

68242944 is an abundant number, since it is smaller than the sum of its proper divisors (158813952).

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

68242944 is a wasteful number, since it uses less digits than its factorization.

68242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 68242944 is about 8260.9287613440. The cubic root of 68242944 is about 408.6510175647.

The spelling of 68242944 in words is "sixty-eight million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 577 616 672 704 768 896 924 1056 1154 1232 1344 1408 1536 1731 1792 1848 2112 2308 2464 2688 2816 3462 3584 3696 4039 4224 4616 4928 5376 5632 6347 6924 7392 8078 8448 9232 9856 10752 12117 12694 13848 14784 16156 16896 18464 19041 19712 24234 25388 27696 29568 32312 36928 38082 39424 44429 48468 50776 55392 59136 64624 73856 76164 88858 96936 101552 110784 118272 129248 133287 147712 152328 177716 193872 203104 221568 258496 266574 295424 304656 355432 387744 406208 443136 516992 533148 609312 710864 775488 812416 886272 1033984 1066296 1218624 1421728 1550976 1624832 2067968 2132592 2437248 2843456 3101952 3249664 4265184 4874496 5686912 6203904 8530368 9748992 11373824 17060736 22747648 34121472 68242944